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LEGENDRE POLYNOMIALS

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LEGENDRE POLYNOMIALS

• Solutions to Legendre’s Differential Equation

• Occurs when solving Laplace Equations in Spherical Coordinates

• Introduced by Adrien-Marie Legendre in 1782: Newtonian Potential

• Expressed using Rodrigues’ formula

• Useful in calculating gravitational potential/Coulomb potential over a mass/charge distribution.

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