Incomplete polylogarithm

id: incomplete-polylogarithm-200-13040200
title: Incomplete polylogarithm
text: In mathematics, the Incomplete Polylogarithm function is related to the polylogarithm function. It is sometimes known as the incomplete Fermi–Dirac integral or the incomplete Bose–Einstein integral. It may be defined by: Expanding about z=0 and integrating gives a series representation: where Γ(s) is the gamma function and Γ(s,x) is the upper incomplete gamma function. Since Γ(s,0)=Γ(s), it follows that: where Lis(.) is the polylogarithm function.
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category slug: encyclopedia
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original url: https://en.wikipedia.org/wiki/Incomplete_polylogarithm
date created:
date modified: 2022-02-24T05:09:18Z
main entity: {"identifier":"Q6015180","url":"https://www.wikidata.org/entity/Q6015180"}
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integrity: 13

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