Heine's identity
id:
heine-s-identity-291-11019077
title:
Heine's identity
text:
In mathematical analysis, Heine's identity, named after Heinrich Eduard Heine is a Fourier expansion of a reciprocal square root which Heine presented as where Q m − 1 2 is a Legendre function of the second kind, which has degree, m − 1⁄2, a half-integer, and argument, z, real and greater than one. This expression can be generalized for arbitrary half-integer powers as follows where Γ is the Gamma function.
brand slug:
wiki
category slug:
encyclopedia
description:
Fourier expansion of a reciprocal square root
original url:
https://en.wikipedia.org/wiki/Heine%27s_identity
date created:
date modified:
2022-02-07T00:09:40Z
main entity:
{"identifier":"Q5699656","url":"https://www.wikidata.org/entity/Q5699656"}
image:
fields total:
13
integrity:
14