WELCOMETO

DEPARTMENT OF MATHEMATICS

DEPARTMENT OF MATHEMATICS

FACULTY OF SCIENCE

A PROFILE

UNIVERSITY OF JAMMUJAMMU-180 006

Tel. 0191-2452888, 2435248 Ext. 2545(HOD), Ext. 2544(OFFICE)

DEPARTMENT OF MATHEMATICS

UNIVERSITY OF JAMMU

INTRODUCTION

The Department of Mathematics was started in 1966 with a Master’s

Degree Programme in Mathematics. Initially, the faculty strength was 3

only but in 1968 another faculty member with Complex Analysis as

specialization and doctorate from IIT, joined the department and

initiated the research programme in Complex Analysis. Later, in

seventies two more people with specializations in modern branches of

Mathematics viz. Functional Analysis and Algebraic Topology, and

with doctorates from US, joined the department and then the

department pursued its research programme in three sub-areas of

mathematics. Later in eighties people with specializations in Algebra,

Geometry, Complex Analysis and Functional Analysis joined the

department and thereby making the faculty strength 12.

Now the department has a strong faculty with their doctorates from

US, IIT, AMU, University of Jammu, and TIFR(Mumbai). The

department carries research in the areas of Algebra, Algebraic

Topology, Algebraic Geometry, Complex Analysis, and Functional

Analysis. The faculty members of the department have reasonably

good research exposure and have their publications in the indexed

national and international Journals of good impact factor, and

participate in mathematical activities at international level by

participating in international conferences/ workshops/ seminars and

by establishing international collaborations with mathematicians from

Austria, Canada, Finland, France, Germany, Japan, Spain, US, and

UK..

The department is quite active and is there on the international map of

mathematics The publication track of each faculty member (at page …)

speaks about the quality work carried out by them. In the field of

teaching, the department has too established itself at national level as

the department has produced 16 NET/JRF students.

To create mathematical awareness in this part of the country and to

give a necessary exposure to our researchers, in 1990 the Jammu

Mathematical Society was formed. It organizes national and

international conferences/seminars/ workshops in collaboration with

other national and international Mathematical Societies. We have been

organizing annual conferences of the Jammu math. Soc. regularly since

its inception.

For college and school students of this region, the society organizes

mathematical competitions and one day students conference annually.

On the basis of academic excellence of the department, the National

Board for Higher mathematics (Department of Atomic Energy, Govt. of

India) gives Rs. 5 lac per anum as library grant particularly to purchase

books and back volumes of research journals. This has led the

department to have a very good departmental library.

Besides annual library grant, NBHM provides scholarships, fellowships

and travel grants to the students, scholars and faculty members of the

department. A Computer Laboratory with internet facility has been

established out of the funds given by UGC. Besides the academic

achievements, the department has an honour to give educational

administrators to the University system like Vice-Chancellor, Controller

of Examinations, Dean of the faculty, members of the University

Council and Syndicate, Presidents of Academic Societies and

members of National Societies. Thus the department has been

marching ahead in the direction of academic excellence and is

committed to keep its march on as the excellence is a direction, not a

destination.

The departmental profile is prepared to present the

salient facts and achievements of the department to

develop an intimate familiarity with the department.

OBJECTIVES, AIMS AND FUTURE PLANNING OF THE DEPARTMENT

The main objective of the department is to provide the quality

education in mathematics in this part of the country so as to

bring the department at the international map of mathematics.

Though we have been successful to some extent in achieving

the excellence both in teaching and research but still we need

to cover a long distance as there is no end to excellence.

The department aims to convert it into a Centre of Advanced

Studies in Mathematics. A few steps have already been taken

in this direction. For instance to cater to the needs of

technology and hence industry the department has now

floated a proposal to start a Master’s Degree Programme in

Applied Mathematics. The department has also initiated a

process of bringing out a high quality refereed Mathematics

Journal with Editorial Board comprising eminent

mathematicians both from India and abroad.

Preliminary deliberations in this direction have already been

made. The department has also intiated the process of

forming a separate faculty viz. Faculty of Mathematical

Sciences which will include Mathematics, Statistics and

Computer sciences. After introducing the Master’s Degree

Programme in Applied Mathematics, the department will

move to get itself converted into ‘The School Mathematics’

with some other programmes in it.

Prof. S.D. Sharma

Head of the Department

DEPARTMENT OF MATHEMATICSUNIVERSITY OF JAMMU

A PROFILE

Year of Establishment: 1966.

Programmes of Study: M.A./M.Sc. with intake 50M.Phil., with intake 10Ph.D.

Faculty Positions: 12

Professor 5

Associate Professor 2

Assistant Professor 5

Present Faculty with Specializations:

A. Professors:

Dr. S.D.Sharma-------- Analytic Function Theory / Operator

Theory.

Dr. A.P. Singh ---------- Complex Analysis / Complex Dynamics.

Dr. B.S. Komal --------- Functional Analysis/

Operator Theory.

Dr. C.L. Wangneo --------- Algebra / Ring Theory.

Dr. D.S. Jamwal------------ Algebraic Topology/ Fuzzy Topology.

B. Associate Professors

Dr. Romesh Kumar------- Complex Analysis / Operator Theory.

Dr. Abdul Khaliq--------- Applied Maths / Variational Inequalities.

C. Asstt. Professors

Dr. K.S. Charak------------ Complex Analysis /

Bicomplex Dynamics.

Dr. Chanchal Kumar------ Algebraic Geometry.

Dr. Shallu Sharma--------- Functional Analysis /

Operator Theory.

M.Phil. / Ph.D. Awarded

M.Phil. 203

Ph.D. 58 (Details at page …)

RESEARCH PUBLICATIONS

Research Papers(2004-2008) = 51, Total = 309

All in Indexed / Impact Factor Journals (Details at page … )

Research Monograph = 1

(North Holland Publ. Co. Netherlands)

HONOURS AND AWARDS TO FACULTY MEMBERS

Fullbright Faculty Fellowship: R.K.Singh Indo-German Fellowship: Satya Deo Commonwealth Fellowship: A.P.Singh,

J.S.Manhas, Romesh Kumar

Royal Society Fellowship: Romesh KumarNational Associateship: R.K.Singh,

Satya DeoVisiting Prefessorship Abroad: R.K.Singh

Member on Committees

of NBHM and UGC: R.K.SinghRashtriya Gaurav Award: A.P.Singh Vijay Rattan Award: S.D.Sharma,

B.S.Komal Post Doctoral Fellowship: Abdul Khaliq

(R.O.C. Taiwan) Post Doctoral Fellowship: K.S.Charak

(Univ. Joensuu, Finland)

Young Scientist Award: J.S.Manhas,

(DST, J&K) Romesh Kumar

Best Paper Presentation Awards:

(i) Ramanujan Award(RMS): K.S.Charak.

(ii) Bharat Ganita

Parishad Award: K.S.Charak,

Chanchal Kumar

INTERNATIONAL RESEARCH COLLABORATIONS

1. A.P.Singh:

Complex Dynamics

• I.N. Baker, Imperial College London.• F. Peterstorfer, Johannes Kepler Instt., Linz,

Austria. • W. Bergweiler, University of Keil. Germany.

• M. Taniguchi, Kyoto University, Japan.• Y. Wang, Chinese Acad. of sciences, China.

2. Romesh Kumar:

Weighted composition operators on Hardy, Bergman and Orlicz spaces

• J.R. Partington, Univ. of Leeds, U.K.• H. Hudzik, Adam Mickiewicz Univ. Poznan,

Poland.• Y. Cui, Univ. of Harbin, China.• L. Maligranda, Univ. of Sci. & Tech. Luela,

Sweden. • G.H. Erajee, Shiraz Univ. Iran.

3. Abdul Khaliq

On Variational and generalized variational Inequalities

• S .Y. Wu, National Ching Kung University, Taiwan

• A.H. Siddiqi, KFUPM, Saudi Arabia.

4. K.S. Charak

Factorization of meromorphic functions, Normal Families and Bicomplex Dynamics

• Ilpo Laine, University of Joensuu, Finland.

• Jarkko Rieppo, University of Joensuu, Finland.

• Dominic Rochon, Universite du Quebec, Canada.

RESEARCH PROJECTS — FUNDED BY UGC AND NBHM

Completed: Major= 5, Minor=10

On Going: Major=1

NBHM/UGC GRANTS

Annual Library Grant: Rs. 5 lacs

Annual Post Graduate

Scholarships: Rs. 57,600.

UGC for establishment

of Computer Lab: Rs. 15 Lacs.

FOREIGN VISITS BY FACULTY MEMBERS

FOR ACADEMIC WORKS A. Present Faculty Members

A.P. Singh: Armenia, Austria, China, UK, Germany, Japan, Russia,

Turky, Taiwan, USA.

S.D. Sharma: USA, S. Korea

C.L. Wangneo: USA

D.S. Jamwal: Greece

Romesh Kumar: Poland, Spain, UK, Thailand.

Abdul Khaliq: Iran, Italy, Taiwan

K.S.Charak: Canada, Finland

Chanchal Kumar: Italy.

B. Past Faculty Members

M.R. Puri: England, USA

J.S. Gupta: Italy

R.K Singh: USA

Satya Deo: Canada, Germany, USA.

FOREIGN MATHEMATICIANS WHO VISITED THE DEPARTMENT

Prof. S. Adian: Russia

Prof. R. Alfonso: Spain

Prof. S. Al-Homidan Saudi Arabia

Prof. Z. Aslan Turkey

Prof. M. Boulbrachene Oman

Prof. Peter Blanksby: Australia

Prof. Aldrik Brown: UK

Prof. F. Fridli Hungry

Prof. K. Furati Saudi Arabia

Prof. D. Ghosal: USA

Prof. N. Govil USA

Prof. Narain Gupta: Canada

Dr. Hossein Iran

Prof. B. Jones: USA

Prof. R. Lozi France

Prof. S. Messaoudi Saudi Arabia

Prof. H. Mittleman USA

Prof. R. Mittleman USA

Prof. M. Rajagopalan: USA

Prof. S. Rehman Saudi Arabia

Prof. D. Rochon: Canada

Prof. Helga Schimer: Canada

Prof. F. Schipp Hungry

Prof. A.H. Siddiqi Saudi Arabia

Prof. Robert Silverman: USA

Prof. K.R. Srinivasan Italy

Prof. W.H. Summers: USA

Prof. M.L. Tickoo: Canada

Prof. K. Vardrajan: Canada

EMINENT MATHEMATICIANS OF VARIOUS INDIAN UNIVERSITIES WHO VISITED THE DEPARTMENT

Prof. P.K. Agarwal: Punjab Univ.

Chandigarh

Prof. S.C. Arora: Univ. of Delhi

Prof. R. Bhatia: ISI Delhi

Prof. B. Choudhary: Jadavpur Univ.

Prof. G.S. Dani: TIFR Mumbai

Prof. H.P. Dikshit R.D. Univ.

Jabalpur

Prof. N.K. Gupta IIT Delhi

Prof. P.K. Jain: Univ. of Delhi

Prof. J.N. Kapoor: IIT Kanpur

Prof. G.P. Kapoor IIT Kanpur

Prof. Inderajit Lahiri: Univ. of Kalyani

Prof. V.V. Menon: BHU

Prof. R.S. Mishra: BHU

Prof. Gadadhar Mishra: Indian Institute

of Sc. Bangalore

Prof. M.G. Nadkarni: Bombay Univ.

Prof. S. Narayanan: TIFR Mumbai

Prof. G.S. Pandey: Lucknow Univ.

Prof. R.S. Pathak: BHU

Prof. V.D. Pathak: MS Univ.

Baroda

Prof. T.C. Panda Behram Univ.

Orissa

Prof. E. Sampathkumar: Univ. of Mysore

Prof. B.L. Sharma: Univ. of

Allahabad

Prof. U.N. Singh: Univ. of Delhi

Prof. Ajit Iqbal Singh: Univ. of Delhi

Prof. Dinesh Singh: Univ. of Delhi

Prof. Sitaramaya: Univ. of

Hyderabad

Prof. R.S.L. Srivastava: IIT Kanpur

Prof. G.S. Srivastava: IIT Roorki

Prof. V.S. Sunder: MS Chennai

Prof. U.B. Tiwari: IIT Kanpur

Prof. H.L. Vasudeva: Punjab Univ.

Prof. B.S.Yadav: Univ. Delhi

PUBLICATIONS

OF THE FACULTY

MEMBERS

Prof. S.D. Sharma 1. On composition operators acting between Besov spaces,

International J. Math. Anal. 3(2009), 133-143.

2. Compact composition operators on Hardy Orlicz spaces,

Math. Vesnik, 60(2008), 215-225.

3. Composition operators between Hardy and Bloch-type

spaces of the upper half plane, Bull. Korean Math. Soc.

43(2007), 475-482.

4. Composition operators on weighted Bergman Orlicz

spaces, Bull. Australian Math. Soc. 75(2007), 273-287.

5. Concrete operators on abstract functional Hilbert spaces,

International J. Math. Anal. 1(2007), 339-354.

6. Weighted composition followed by differentiation between

Bergman spaces, International Math. Forum, 2(2007),

1647-1656.

7. Riemann-Stieltjes operators between weighted Bloch and

weighted Bergman spaces, International J. Contemp.

Math. Sci. 2(2007), 759-772.

8. Weighted composition operators between Bergman-type

spaces, Communications Korean Math. Soc. 21(2006),

465-474.

9. Carleson measures in a vector-valued Bergman space, J.

Anal. Appl. 4(2006), 65-76.

10. Semigroups of composition operators on H(w), Math.

Today, XXI(2005), 3-16.

11. Composition operators on the weighted Bergman-

Nevanlinna space, Proc. First Advanced Course in

Complex Analysis and Operator Theory, held at

Universidad de Sevilla(Spain)(2004), 123-132.

12. Invertible and isometric composition operators in vector-

valued Hardy spaces, Bull. Korean Math. Soc.,

41(2004),413-418.

13. Conjugation Theorem in operator-valued functional Hilbert

spaces, Indian J. Math., 45(2003), 325-332.

14. Composition operators on vector-valued Hardy spaces of

the upper half-plane, J. Anal. Appl., 1(2)(2003), 113-123.

15. A space of analytic functions with Montel property, Indian J.

Pure Appl. Math., 33(2002), 1409-1416.

16. On characterization of weighted composition operators on

non-locally convex weighted spaces of continuous

functions, Tamkang J. Math., 31(2)(2000), 1409-1416.

17. On sequences of composition operators, Scientia Iranica,

7(7)(2000), 5-8.

18. Compact composition operators and Carleson measure in

the upper half-plane, Extracta Math. 15(2000), 175-180.

19. Substitution operators with closed ranges and invariant

subspaces, Ganita 50(1999), 31-35.

20. Composition operators on vector-vslued Hardy spaces,

Extracta Math. 14(1999), 31-39.

21. Composition operators on Hardy spaces of the upper half-

plane, Bull. Allahabad Math. Soc., 14(1999), 129-145.

22. A semi-dynamical system induced by composition

operators, Indian J. Pure Appl. Math., 30(7)(1999), 715-

720.

23. Composition operators on Bergman-Orlicz type spaces,

Indian J. Math., 40(1998), 227-235.

24. Compact and Fredholm multiplication operators on a

sequence space, Far East J. Math. Sci. 4(3)(1997), 443-

451.

25. Dijointness preserving operators on C(X), Math. Today,

VI(1997), 51-54.

26. Substitution operators on some sequence spaces, Math.

Forum, X(1996), 9-15.

27. Substitution operators on Orlicz sequence spaces, Banyan

Math J., 3(1996), 7-16.

28. Convergence of sequencesof substitution operators on

H(w), J. Indian Math. Soc., 62(1996), 196-204.

29. On periodic functions in H2(π+), Univ. Timisosra Ser.

Stiint. Mat., 32(1994)111-113.

30. Inner functions and substitution operators, Acta Sci. Math.

58(1993), 505-512.

31. Substitution operators on generalized spaces of entire

functions, Math. Today, XI(1993), 21-26.

32. Compact composition operators on H2(Dn), Indian J. Math.

34(1992), 73-79.

33. Characterization of composition operators on function

spaces, J. Scientific Research, 41C(1991), 1-8.

34. Substitution operators on Hardy-Orlicz spaces, Proc. Nat.

Acad. Sci. India, 61(A), 535-541.

35. A motion in H2(π+), J. B. Math. Soc.13(1990), 1-4.

36. Idempotent composition operators and several complex

variables, Bull. Cal. Math. Soc. 82(1990), 13-15.

37. Translation invariant function spaces, Bull. Allahabad

Math. Soc. 3(1988), 1-10.

38. Compact and Hilbert-Schmidt composition operators on

Hardy spaces of the upper half-plane, Acta Sci. Math.

(Hungary), 46(1983),197-202.

39. Composition operators and several complex variables, Bull.

Austral. Math. Soc. 23(1981), 237-247.

40. Non-compact composition operators, Bull. Austral. Math.

Soc. 21(1980), 125-130.

41. Composition operators on a functional Hilbert space, Bull.

Austral. Math. Soc. 20(1979), 277-284.

Prof. A.P.Singh1. On semi-conjugation of entire functions, Bull. Pure Appl.

Math. 2(1)(2008), 25-29.

2. An introduction to Complex Dynamics, Mathematics News

Letter, Ramanujan Math. Soc. (1)18(2008)15-26.

3. Composite entire functions with no unbounded Fatou

component, J. Math. Anal.Appl.335(2007),907-914.

4. On escaping sets of entire functions, Complex Dynamics

and its related fields, Ed. M. Shishikura, M. Kisaka,

Surikaisekikenyusho Kokyuroku, RIMS Proceeding No.

1494 (2006),24-33.

5. Julia sets of permutable holomorphic maps, Science in

China Ser. A: Mathematics, (11)49(2006), 1715-1721.

6. Escaping sets and wandering domains of composition of

entire functions, The Proceedings of the Ninth

Conference on real and Complex Analysis in

Hiroshima(2005), 114-123.

7. Transcendental entire functions whose Julia set is the

Complex Plane, Complex Variables and Elliptic

Equations, (9), 52(2007), 797-805.

8. Wandering domains of meromorphic functions, The Nepali

Math. Sc. Report (1) 24(2005)59-70.

9. On the singularities of composition of entire functions,

Analysis in Theory and Applications, (4) 21(2005), 370-

376.

10. Fatou components in angular region, Proc. 12th

International Conference of Finite or Iinfinite

Dimensional Complex Analysis and Applications,

Kyushu Univ. Press (2005),319-329.

11. Sharing values and normality of meromorphic functions,

Complex variables, (6) 49(2004), 417-?.

12. Advances in the dynamics of entire and meromorphic

functions, Math. Student, (1-4) 73(2006), 61-72.

13. Some directions in Complex Dynamics, Math. Student, (1-

4) 72(2005), 89-100.

14. On the dynamics of composition of entire functions, Math.

Proc. Camb. Phil. Soc. 134(2003), 129-138.

15. Dnamics of transcendental meromorphic functions, Finite or

Infinite Dimensional Complex Analysis: 7th International

Colloquium, Ed. E. Taft and Z. Nashed, Marcel Dekker

(2000), 479-494.

16. Unbounded components of the Fatou set, Complex

Variables, 41(2000), 133-144.

17. On factorization of meromorphic functions, Bull. Allahabad

math. Soc. 15(200), 9-15.

18. Complex Analytic Dynamics, Lecture Notes in

Mathematical Sciences, 6(1999), 56-61.

19. Some criteria for determining pseudo-primeness in divisor

sense, Proc. Nat. Acad. Sci. India 68(A)IV (1998), 365-

372.

20. Iterates of meromorphic functions: An Introduction,

Functional Analysis with current applications in Sci. Tech.

Industry, Ed. Martin Brokate, A.H. Siddiqi, Pitman

Research Notes, No. 377(1998), 207-219.

21. Some results on pseudo-primeness of meromorphic

functions, Bull. Cal. Math. Soc. 90(4) (1998), 223-228.

22. On factorization of meromorphic functions with finitely many

zeros, Tamkang J. Math. 29(2) (1998), 4 -11.

23. Factorization of certain classes of entire and meromorphic

functions, Indian J. Pure Appl. Math. 28(1) (1997), 81-93.

24. Meromorphic functions that share small functions, J.

Ramanujan Math. Soc. 11(1996), 73-84.

25. Meromorphic functions that share values by simple and

double zeros, Indian J. Pure Appl. Math. 26(7) (1995),

697-703.

26. Wandering domains in the iterations of composition of entire

functions, Ann. Acad. Sci. Fenn. 20(1995), 149-153.

27. A note on differential polynomials, Bull. Cal. Math. Soc.

87(1995), 63-66.

28. On order of differential polynomials, Proc. Nat. Acad. Sci.

India 64(A)III (1994), 365-372.

29. Comparative growth of composition of entire functions,

Indian J. Pure Appl. Math. 24(3) (1993),181-188.

30. On meromorphic functions satisfying certain functional

equations, Univ. Review(Fac. Sci.), Univ. Jammu

(1993),27-32.

31. Maximum term of composition of entire functions, Proc.

Nat. Acad. Sci. India 63(A)II (1993), 403-410.

32. On Differential polynomials, Bull. Cal. Math. Soc.

85(1993),171-176.

33. On deficiencies of differential polynomials, Proc. Indian

Acad. Sci.(Math. Sci.) 102(2) (1992), 129-139.

34. A note on Nevalinna characteristic function, Math. Student,

57(1-4) (1991), 157-160.

35. On maximum modulus and maximum term of composition

of entire functions, Indian J. Pure Appl. Math. 22(12)

(1991),1019-1026.

36. Relative defects of monomials, J. Indian Acad. Math. 12(1)

(1990), 53-63.

37. On exceptional values of entire functions and their

derivatives, Bull. Cal. Math. Soc. 82 (1990), 298-302.

38. Relative defects of meromorphic functions, Proc. Nat.

Acad. Sci. India 60(A)II (1990), 159-167.

39. A glimpse into Nevanlinna theory of meromorphic functions,

Math. Student 57 (1989), 59-67.

40. On equality of orders of two meromorphic functions,

Ramanujan International Symposium on Analysis,

MacMillan India, (1989), 337-345.

41. Some notes on differential polynomials, Proc. Nat. Acad.

India, 59(A)II (1989), 291-297.

42. On maximum term of composition of entire functions, Proc.

Nat. Acad. India, 59(A)I (1989), 103-115.

43. Relative defects of homogeneous differential polynomials,

Proc. Nat. Acad. India, 58(A)II (1988), 283-292.

44. On a class of slowly changing functions, Proc. Indian

Acad. Sci. (Math. Sci.), 98(1) (1988), 25-30.

45. Deficient values of differential polynomials, Math.

Chronicle, 15 (1987), 35-37.

46. Deficient values of meromorphic functions, J. Indian Acad.

Math. 8(1) (1986), 1-6.

47. Entire functions through Nevanlinna theory, Proc. VIII

Annual Conference of ISPS, (1986), 180-191.

48. On Borel exceptional values, Bull. Bombay Math.

Colloquium, 3(2) (1986), 49-52.

49. On order of homogeneous differential polynomials, Indian

J. Pure Appl. Math. 16(7) (1985), 791-795.

50. Growth of composite entire functions, Kodai Math. J. 8(1)

(1985), 99-102.

51. On Nevanlinna characteristic of homogeneous differential

polynomials and deficient values, J. Shivaji Univ. (Sci.)

22(1984-85), 231-239.

52. Analytic functions with continuous variables, J. Shivaji

Univ. (Sci.) 22(1984-85), 2531-256.

53. On relative defects of meromorphic functions, Ranchi

Univ. Math. J. 15(1984), 48-54.

54. Applications of Nevanlinna theory to differential equations,

Indian J. Pure Appl. Math. 14(10) (1983), 1228-1232.

55. Relative defects corresponding to the common roots to two

meromorphic functions, Kodai Math. J. 6(1983), 333-339.

56. A note on Painleve differential equation, Math. Student

5191983), 126-128.

57. On Nevanlinna characteristic function, Proc. Nat. Acad.

Sci. India 52(A)II (1982), 180-183.

58. A note on right factor of an entire function, Math. Student

50(1982), 181-183.

59. A note on exceptional Picard for simple and double zeros,

Math. Student 50(1982),272-274.

60. A note on exceptional value Picard for simple zeros, Progr.

Math. (Allahabad) (1-2) 15(1981), 9-11.

61. Relative defects of meromorphic functions, J. Indian Math.

Soc. 44(1980), 191-202.

62. On differential polynomials, Commentarii Mathematici

Universitatis Sancti Pauli 29(2) (1980), 181-191.

Prof. B.S. Komal1. Multiplication operators induced by operator valued maps,

Int. J. Contemp. Math. Sci. 3(2008), 667-673.

2. Operators of composition between Orlicz spaces, Aligarh

Bull. Math. 25(2006), 59-63.

3. Numerical ranges of composition operators, Hokkaido

Math. J. 35(2006), 1-12.

4. Multiplication operators between Orlicz spaces, Integral

Equations and Operator Theory 41(2001), 324-330.

5. Invertible and compact weighted composition operators on

the space of continuousy differentiable functions, Indian J.

Math. 43(2001), 387-393.

6. Composition operators on Orlicz spaces, Indian J. Pure

Appl. Math. 32(7)(2000), 1117-1122.

7. Compact composition operators, Math. Appl. Industry and

Business, Narosa Pub. House New Delhi, (2000), 69 -76.

8. Composition operators on Hilbert space of entire functions,

Bull. Cal. Math. Soc. (2000)

9. Multiplication operators on weighted spaces of continuous

functions, Ganita, 50(1999), 27-30.

10. Weighted composition operators on space of entire functions,

Functional Analysis, Selected Topics Narosa Pub. House,

New Delhi (1998), 111-119,

11. Composite integral operators, Pitman Research Notes

377(1998).

12. Invertible composition operators on locally convex spaces of

entire functions, Functional Analysis Topics, Narosa Pub.

House New Delhi (1998), 119-127.

13. On operators of weighted substitution on generalized spaces

of entire functions II, Far East J. Math. Sci. (1998), 117-123.

14. Isometric and Fredholm weighted substitution operators on

the generalized spaces of entire functions, Far East J. Math.

(1998), 25-35.

15. Non-archemedian multiplication operators, Bull. Cal. Math.

Soc. 89(1997), 135-142.

16. On operators of weighted substitution on generalized space

of entire functions, Math. Today, XV(1997), 3-10.

17. A characterization of composition operators induced by

matrices, Far East J. Math. Sci. 5(1997), 569-572.

18. Weighted substitution operators, Indian J. Math.

38(1996),67 - 72.

19. Compact multiplication operators on spaces of operators,

Allahabad Math. 10(1996), 73-77.

20. Composite multiplication operators on spaces of continuous

functions, Far East J. Math. 4(1) (1996), 9-13.

21. Weighted composition operators on a Hilbert spaces of

vector-valued sequences, Bull. Cal. Math. Soc. 88(1996),

269-278.

22. On operators of composition of generalized spaces of entire

functions, Math. Today, XIV(1996), 3-8.

23. Some characterizations of invertible Hilbert-Schmidt

weighted copmposition operators, Bull. Cal. Math. Soc.

87(1995), 215-220.

24. Invertible and compact operators on weighted spaces of

differentiable functions, Far East J. Math. 3(1995), 115-221.

25. Composition operators on the space of entire sequences

over non-Archemedian valued field, Bull. Cal. Math Soc.

87(1995), 335-338.

26. Invertible weighted substitution operators on the space of

entire sequences over non-Archemedian valued fields,

Banyan J. Math. 1(1994), 83-90.

27. Compact and invertible composition operators on l^p, 0<p<∞,

Banyan J. Math. 1(1994), 95-102.

28. Composition operators on the spaces of entire sequences,

Bull. Cal. Math. Soc. 87(1994), 5-10.

29. Composition operators on l^p, 0<p<∞, University Review

(1994), 41-48

30. Non-Archemedian multiplication operators and dynamical

systems on the spaces of entire sequences, Far East J.

Math. Sci. 2(1994), 1-8.

31. Operators on weighted spaces of infinitely differentiable

functions, Far East J. Math. Sci. 1(1993), 201-207.

32. Characterization of composition operators on function

spaces, J. Scientific Research 41(1991), 221-223.

33. Some results on multiplication operators induced by operator

valued maps, Bull. Cal. Math. Soc. 83(1991), 515-518.

34. Composition operators on space of operators, Indian J.

Math. 33(1991), 1-17.

35. On eigen values of composition operators, Indian J. Pure

Appl. Math. 22(1991), 37-43.

36. Composition operators on the space of entire functions,

Kodai Math. J. 14(1991), 463-469.

37. Invariant subspaces of composition operators on weighted

sequence spaces, Proc. Invariant Subspaces and allied

Topics, Narosa Publ. House, New Delhi, 1990.

38. A characterization of composition operators on the space of

entire sequences, Bull. Cal. Math. Soc. 82(1990), 519-526.

39. The spectra of quasinormal composition operators, Math.

Today 8(1990), 13-18.

40. Idempotent composition operators, The University Review

Special Volume (1989), 178-181.

41. Translation invariant function spaces, Bull. Allahabad Math.

Soc. 3(1988), 1-10.

42. Normal composition operators, Acta Scientarum Math.

45(1984), 445-448.

43. Centered and hyponormal composition operators, J. Indian

Math. Soc. 47(1983), 55-62.

44. Fredholm composition operators on weighted sequence

spaces, Indian J. Pure Appl. Math. 14(1983), 293-296.

45. Characterizations and invariant subspaces of composition

operators, Acta Scientarum Math. 46(1983), 283-286.

46. Quasinormal composition operators, Indian J. Pure Appl.

Math. 13(1982), 8-12.

47. A counterexample to a problem of Morrel, Math. Student

48(1980), 150-152.

48. Some results on composition operators on l^2, Int. J. Math.

Math. Sci. 2(1979), 29-32.

49. Composition operators, Bull. Austral. Math. Soc. 18(1978),

439-445.

50. Composition operators on l^p and its adjoint, Proc. Amer.

Math. Soc. 70(1978), 21-26.

Prof. C.L.Wanganeo 1. A note on certain ore extensions, Bull. Cal. Math.

Soc.91(1999), 263 -266.

2. The structure of some right Noetherian rings with Krull

dimension one, Proc. Amer. Math. Soc. 118(1993), 677 –

680.

3. Polynomial rings over rings integral over their centres, Bull.

Austral. Math. Soc. 34(1986), 11-23.

4. Polynomial rings over FBN rings, Algebra and its

applications (1981), 53-55, Lecture Notes in Pure and

Appl. Math. 91, Dekker, New York, 1984.

5. Right Noetherian rings integral over their centers, Comm.

Algebra 7(1989), 1573 – 1598.

Prof. D.S.Jamwal1. Finitisticness of L-topological spaces under sum and

Lowen functor omega, Fuzzy logic and its applications in

Topology and management, Narosa Publishing House,

(2007), 32-37, Edited Volume containing the selected

papers from the conference FIATEM- 2004 held at IIT

Kharagpur.

2. Paracompact and metacompact spaces in L-topology, Bull.

Pure Appld. Sciences, 26(2) (2007), ?

3. On covering dimension of finitistic spaces in L-topology, J.

Fuzzy Math. 14(1) (2006), 207-222.

4. On group topology and finitistic spaces, Bull. Pure Appld.

Sciences 24E(1) (2005), 123-132.

5. Fuzzy Ө-T2 spaces, Bull. Pure Appld. Sciences,

23E(1) (2004), 377-381.

6. On covering dimensions of L-fuzzy subsets and L-

topological spaces, J. Fuzzy Math. 12(2) (2004), 331-339.

7. Countably finitistic spaces are finitistic, Ganita 53(2) (2002),

151-157.

8. Covering dimension and finitistic spaces in L-topology,

Proc. Of the conference on Fuzzy Set Theory and its

Mathematical Aspects and Applications, BHU, Varanasi,

(2002), ?

9. Cohomology with exotic supports and the generalized-

excision, , J. Austral. Math. Soc. Ser. A, 45(1988), 326-

340.

10. Finitistic and locally finitistic spaces, Indian J. Math.

27(1985), 183-194.

11. Countable Sum Theorem for locally closed sets, Bull.

Austral. Math. Soc. 29(1984), 47-55.

Dr. Romesh Kumar1. Composition operators on Orlicz-Lorentz spaces spaces,

Integral Equations and Operator Theory, 60 (2008), 79

– 88.

2. Essential norm of weighted composition operator on the

Dirichlet space, Extracta Math. 21(3) (2006), 249-259.

3. Weighted composition operators via Berezin transform and

Carleson measure, Commentationes Mathematicae,

XLVI (1) (2006) , 63- 78.

4. Matrix Multiplication operators on Banach Function spaces,

Proc. Indian Acad. Sci. (Math. Sci.) 116(1)(2006), 71-81.

5. Composition operators on Banach function spaces, Proc.

Amer. Math. Soc.133 (2005), 2109 – 2118.

6. On finite dimensional algebras generated by composition

operators on Orlicz sequence space with weight , Houston

J. Math., 31(4)(2005), 1135 – 1152.

7. Compact composition operators on Lorentz spaces,

Matematicki Vesnik , 57(2005), 109 –112.

8. Weighted composition operators on Hardy and Bergmann

spaces, Recent Advances in Operator Theory, Operator

Algebras, and their applications, Proc. XIXth International

Conference on Operator Theory (Timisoara), 2002,

Operator Theory: Advances and Applications, Vol. 153,

Birkhäuser (2004), 157-167.

9. Composition operators on Orlicz spaces, J. Austral. Math.

Soc., 76 (2004).

10. Substitution operators on some sequence spaces, Forum

Math. X (1996), 9-

11. Compostion operators on L-1 spaces, Proceedings of the

Sixth Conference on Function Spaces, World Scientific

Publishers, 2003.

12. Carleson measure and compact composition operators on

Hardy spaces of upper-half plane, Extracta Math. Vol 15,

No. 1 (2000), 175-180.

13. Composition operators on Orlicz spaces, Integral Equations

and Operator Theory, 29 (1997), 17-22.

14. Weighted substitution operators on weighted spaces of

infinitely differentiable functions, Indian J. Math. Vol 38, No.

1 (1996), 67-72.

15. Convergence of sequences of substitution operators on

H(w), J. Indian Math. Soc., 62(1-4) (1996) 196-204.

16. Substitution operators on a space of infinitely differentiable

functions, Indian J. Pure App. Math., 26(5)(1995) 441-443.

17. Substitution operators on weighted spaces of infinitely

differentiable functions, Far East J. Math Sci, 1 (2) (1993)

201-207

18. Substitution operators on generalised spaces of entire

functions, Mathematics, Today XI (1993) 21-26.

19. Inner functions and subtitution operators, Acta Sci. Math

(Szeged) 58 (1993) 509-516.

20. Substitution operators on Hardy-Orlicz spaces, Proc. Nat.

Acad. Sci. (India), 71(A) IV (1991) 535-4

Dr. Abdul Khaliq 1. Implicit vector quasi-equilibrium problems with applications to

variational inequalities, Proc. 4th World Congress of Non-

linear Analysts, Orlendo, USA, WENA 2004.

2. Generalized implicit vector variational inequalities, SEA J.

Math. Math. Sci., 2(4) (2004), 33-44.

3. On generalized vector quasi-equilibrium problems, Advances

Non-linear Variational Inequalities, 7(1) (2004), 47-57.

4. Existence of solutions for generalized vector variational like

inequalities, SEA J. Math. Math. Sci., 2(1) (2003), 1-4.

5. Generalized non-linear vector quasi-variational like

inequalities, Non-linear Analysis Forum, 8(1) (2003), 115-

126.

6. Vector quasi-equilibrium problems, Bull. Austral. Math.

Soc.68(2003), 295-302.

7. Generalized vector quasi-variational like inequalities,

Ganita, 22(2002), 63-71.

8. On generalized vector quasi-variational inequalities in

Hausdorff topological vector spaces, Far East J. Math. Sci.

6(2) (2002), 137-148.

9. Completely generalized non-linear variational like inclusion

with non-compact valued mappings, Non-linear Analysis

Forum, 7(2) (2002), 159-166.

10. On generalized vector equilibrium, Ganita, 19(1999), 69-83.

11. On generalized vector variational inequalities, J.

Optimization Theory and Applications, 84(1995), 171-

181.

Dr. K.S.Charak 1. Two normality criteria and the converse of the Bloch

Principle, J. Math. Anal. Appl. 353(2008), 43 - 48.

2. Normal families of bicomplex holomorphic functions,

Fractals 2008(to appear).

3. On factorization of bicomplex meromorphic functions,

Quaterionic and Clifford Analysis-Trends in

Mathematics, Birkhauser(Switzerland) (2008), 55- 68.

4. On a class of prime entire functions, Acta Math. Sinica

2008 (to appear).

5. Value distribution of meromorphic functions, Math. News

Letter, Ramanujan Math. Soc. 2008(to appear).

6. Some remarks on factorization of entire algebroidal

functions, Southeast Asian Bull. Math. 32(2008), 411-

416.

7. Factorization of some entire functions, Complex Variables,

Theory and Applications 43(2001), 251- 258.

8. Some results on pseudo-primeness of meromorphic

functions, Bull. Cal. Math. Soc. 90(4) (1998), 223 - 228.

9. On factorization of meromorphic functions with finitely many

zeros, Tamkang J. Math. 29(2) (1998), 4 - 11.

10. Factorization of certain classes of entire and meromorphic

functions, Indian J. Pure Appl. Math. 28(1) (1997), 81 - 93.

11. Meromorphic functions that share small functions, J.

Ramanujan Math. Soc. 11(1996), 73 - 84.

Dr. Chanchal Kumar

1. Linear systems and quotients of projective spaces, Bull.

London Math. Soc. 35(2003), 152 - 160.

2. Invariant vector bundles of rank 2 on hyperelliptic curves,

Michigan Math. J. 47(2000), 575 - 584.

Dr. Shallu Sharma

1. Numerical ranges of composition operators, Hokkaido Math.

J. 35(2006), 1-12.

DETAILS OF THE Ph.D’S. AWARDED

1. Manjeet Singh J.S. Gupta

2. Shakhti Bala --------------

3. D.K. Bhola --------------

4. Ashok Kumar R.K. Singh

5. B.S. Komal --------------

6. S.D. Sharma ---------------

7. Velluchamy ---------------

8. R. David Kumar ---------------

9. D.K. Gupta ---------------

10. Dharam Adhikari ---------------

11. Deomurari ---------------

12. Jasbir Singh ---------------

13. Bhopinder Singh ---------------

14 . Romesh Kumar R.K.Singh &

S.D.Sharma

15. Rajeshwer Singh R.K.Singh &

B.S.Komal

16. Chander Shekher ---------------

17. S. Muttepowar Satya Deo

18. Mohan Singh --------------

19. Ram Krishan Satya Deo

20. Dalip Singh --------------

21. Janak Singh --------------

22. Chander Shekher Vaid --------------

23. Surinder Singh R. Tiwari

24. Basant Ram ------------

25. Durai Raju ------------

26. M.S. Billoria A.P. Singh

27. Raj Shree Dhar --------------

28. K.S. Charak --------------

29. Jagdish Lal Sharma --------------

30. Rajesh Sharma --------------

31. Ajay Singh --------------

32. Tirath Kumar B.S. Komal

33. Sunil Gupta --------------

34. Nagesh Singh --------------

35. Nishchintak Sharma --------------

36. Shally Gupta --------------

37. Anupama Gupta --------------

38. Kuldeep Raj --------------

39. Vinay Khosla --------------

40. Sadna Tiwari --------------

41. Shallu Sharma --------------

42. Udhay Bhanu S.D. Sharma

43. Jagdish Raj ---------------

44. Rekha Singh ---------------

45. Ajay Kumar ---------------

46. Shabir Ahmed ---------------

47. Rekha Kumari ---------------

48. Vijay Kumar Bhat C.L. Wangneo

49. Shakeel Ahmed D.S. Jamwal

50. Ashwani Kumar ---------------

51. Sudershan Khajuria J.P. Srivastava

52. Prabha Sharma ---------------

53. Rakesh Gupta ---------------

54. Rajiv Kumar Romesh Sharma

55. Kr. Jatinder Singh ---------------

56. Sonam Krishan Ab. Khaliq

57. Mohd Rashid ---------------

58. Mohd Rouf ---------------

Ph. D. THESIS SUBMITTED

1. Kulwant Singh A.P.Singh

2. Tejinder Kour B.S.Komal

3. Sandeep Sharma D.S.Jamwal

4. Sanjay Kumar S.D.Sharma

5. Zaheer Abbas S.D. Sharma

UPDATING OF SYLLABI

After every three years, the courses at M.A./M.Sc. and at

M.Phil. levels are revised and updated. Revision of the

syllabi in 2005 was significant in the sense that instead of

four papers in each semester, five papers were introduced

and thus the students pursuing Master’s Degree

Programme in mathematics have to qulify twenty papers of

four credits each instead of sixteen papers of four credits

each. Presently it is at par with any standard university of

the country and meets the requirements of the students at

international level.

LIBRARY FACILITIES

A reasonably good library having about 6 thousand books

and 29 research journals besides regular mathematical

news letters and updates.

SCIENTIFIC EQUIPMENTS

Total PCs in the department: 20

PCs with internet: 12

Overhead Projector: 01

LCD: 01

Xerox Machines: 02

Printers: 11

NET QUALIFIED STUDENTS: 16

1. Bhopinder Singh

2. Atul Kumar

3. Alka Gupta

4. Chanchal Kumar

5. Dinesh Khurana

6. Rajeev Kumar

7. Ajay Kumar

8. Zaher Abbas

9. Pavinder Singh

10. Ashok Kumar

11. Ajay Sharma

12. Narinder Sharma

13. Rohini Sharma

14. Ravinder Kumar

15. Rajat Sharma

16. Anshu Sharma

THANK YOU