Legendre polynomials and its derivation

Authors

  • Hanan Saleh abushahma Misurata University

Keywords:

Legendre polynomials, Binomial coefficients, Power Series

Abstract

<> This paper presents Legendre polynomials which closely associated with physical phenomena and spherical geometry. Legendre polynomials are the simplest example of polynomial sets. Each polynomial set satisfies several recurrence formulas, and involved numerous integral relationships, also it forms the basis for series expansions resembling Fourier trigonometric series. Derivation of the Legendre differential equation is studied

Published

2025-08-08

Issue

Section

Articles