Legendre rational functions
id:
legendre-rational-functions-192-1362633
title:
Legendre rational functions
text:
In mathematics, the Legendre rational functions are a sequence of orthogonal functions on [0, ∞). They are obtained by composing the Cayley transform with Legendre polynomials. A rational Legendre function of degree n is defined as: where P n is a Legendre polynomial. These functions are eigenfunctions of the singular Sturm–Liouville problem: with eigenvalues
brand slug:
wiki
category slug:
encyclopedia
description:
Sequence of orthogonal functions on [0, ∞)
original url:
https://en.wikipedia.org/wiki/Legendre_rational_functions
date created:
date modified:
2024-04-07T17:05:43Z
main entity:
{"identifier":"Q6517883","url":"https://www.wikidata.org/entity/Q6517883"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/3/32/LegendreRational1.png","width":856,"height":572}
fields total:
13
integrity:
15