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 $P_{\ell }^{(m)}(x)=(1-x^{2})^{m/2}{\tfrac {d^{m}}{dx^{m}}}P_{\ell }(x)$ where P_ℓ 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]