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Heine's identity : ウィキペディア英語版 | Heine's identity In mathematical analysis, Heine's identity, named after Heinrich Eduard Heine〔 ''(See (page 286 ))''〕 is a Fourier expansion of a reciprocal square root which Heine presented as : where〔 〕 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 is the Gamma function. ==References==
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