DLMF:15.8.E8 (Q5065)

No description defined

Language	Label	Description	Also known as
English	DLMF:15.8.E8	No description defined

Statements

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperOlverF@@{a}{a+m}{c}{z}=\frac{(-z)^{-a}}{\EulerGamma@{a+m}}\sum_{k=0}^{m-1}\frac{(a)_{k}(m-k-1)!}{k!\EulerGamma@{c-a-k}}z^{-k}+\frac{(-z)^{-a}}{\EulerGamma@{a}}\sum_{k=0}^{\infty}\frac{(a+m)_{k}}{k!(k+m)!\EulerGamma@{c-a-k-m}}(-1)^{k}z^{-k-m}\*\left(\ln@{-z}+\digamma@{k+1}+\digamma@{k+m+1}-\digamma@{a+k+m}-\digamma@{c-a-k-m}\right),}

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DLMF id

DLMF:15.8.E8

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constraint

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |z|>1,|\phase@{-z}|<\pi}

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Symbols used

gamma function

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}

xml-id

C5.S2.E1.m2addec

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the ratio of the circumference of a circle to its diameter

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}

xml-id

C3.S12.E1.m2aedec

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