In mathematical analysis, Heine's identity, named after Eduard Heine, is a Fourier expansion of a reciprocal square root: where is a Legendre function of the second…
In mathematical analysis, Heine's identity, named after Eduard Heine, is a Fourier expansion of a reciprocal square root:
where is a Legendre function of the second kind and . This expression can be generalized for arbitrary half-integer powers as follows:
where is the gamma function.
Notes
References
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