KnowraLegendre polynomialsLinked fromLinked fromThe 9 pages that link to Legendre polynomials, each with the reason it gives.All 9Broader topic 5Related 1Narrower topic 1Compared with 2Adrien-Marie LegendreBroader topic: Their role in potential theory extends Legendre’s mathematical-physics research.Sturm–Liouville theoryBroader topic: They arise as eigenfunctions for a Sturm–Liouville problem on an interval.Even and odd functionsBroader topic: Each polynomial has definite parity, simplifying expansions on symmetric intervals.Askey–Gasper inequalityBroader topic: They are a simpler classical orthogonal family, while the inequality requires a more specialized Jacobi-polynomial sum.Legendre equationBroader topic: They are the polynomial solutions selected by integer degree.