DLMF:16.8.E9 (Q5228)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:16.8.E9 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \left({\textstyle\ifrac{\prod\limits_{k=1}^{q+1}\EulerGamma@{a_{k}}}{\prod\limits_{k=1}^{q}\EulerGamma@{b_{k}}}}\right)\genhyperF{q+1}{q}@@{a_{1},\dots,a_{q+1}}{b_{1},\dots,b_{q}}{z}=\sum_{j=1}^{q+1}\left(z_{0}-z\right)^{-a_{j}}\sum_{n=0}^{\infty}\frac{\EulerGamma@{a_{j}+n}}{n!}\*\left({\textstyle\ifrac{\prod\limits_{\begin{subarray}{c}k=1\\ k\neq j\end{subarray}}^{q+1}\EulerGamma@{a_{k}-a_{j}-n}}{\prod\limits_{k=1}^{q}\EulerGamma@{b_{k}-a_{j}-n}}}\right)\*\genhyperF{q+1}{q}@@{a_{1}-a_{j}-n,\dots,a_{q+1}-a_{j}-n}{b_{1}-a_{j}-n,\dots,b_{q}-a_{j}-n}{z_{0}}\left(z-z_{0}\right)^{-n}.}
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DLMF:16.8.E9
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