Legendre’s differential equation

E1776905 UNEXPLORED

Legendre’s differential equation is a second-order linear ordinary differential equation whose solutions, the Legendre polynomials, play a central role in mathematical physics, especially in problems with spherical symmetry.

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Adrien-Marie Legendre notableFor Legendre’s differential equation
subject linked to: Legendre
Legendre hasNotableMathematicalConceptNamedAfter Legendre differential equation
linked to: Legendre’s differential equation
Legendre polynomials satisfyDifferentialEquation Legendre differential equation
linked to: Legendre’s differential equation
Sturm–Liouville problem hasSpecialCase Legendre differential equation
linked to: Legendre’s differential equation