Legendre Polynomials and Functions

Introduction to Legendre Polynomials and Functions

  • Legendre Polynomials and Functions:Legendre functions occur in problems of gravitational potential at point due to a unit mass at certain other point.This function is used in problems of potential theory when the natural boundaries are spheres with Center at the origin of co-ordinate.
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Legendre Polynomials and Functions:

  • The equation
    is called the Legendred’s differential equation. This equation arises in the solution of boundary value problems involving spherical symmetry.
    A series of (1) will be developed in the next section.
    Generating Functions

Legendre Polynomial and Functions(Generating Functions)

  • In this article, Legendre polynomials and functions have been told
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