Legendre

This disambiguation page lists articles associated with the same or a similar title.

* Adrien-Marie Legendre [r]: (1752 – 1833) important French mathematician whose name lives on in the Legendre polynomials and associated Legendre functions. [e]
* Legendre polynomials [r]: Orthogonal polynomials in the variable −1 ≤ x ≤ 1 and weight function w(x) = 1. [e]
* Associated Legendre function [r]: Function defined by  P ℓ ( m ) ( x ) = ( 1 − x 2 ) m / 2 d m d x m P ℓ ( x ) {\displaystyle P_{\ell }^{(m)}(x)=(1-x^{2})^{m/2}{\tfrac {d^{m}}{dx^{m}}}P_{\ell }(x)} where Pℓ denotes a Legendre function. [e]
* Legendre-Gauss Quadrature formula [r]: the specific approximation of the integral with the sum of N terms, which becomes exact for the polynomial integrand of order < 2N. [e]