DLMF:16.8.E9 (Q5228): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(3 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Q11691 / rank | |||
Normal rank | |||
Property / Symbols used: Q11691 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}q | |||
Property / Symbols used: Q11691 / qualifier | |||
xml-id: C16.S1.XMD2.m1fdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11692 / rank | |||
Normal rank | |||
Property / Symbols used: Q11692 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q11692 / qualifier | |||
xml-id: C16.S1.XMD3.m1hdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11693 / rank | |||
Normal rank | |||
Property / Symbols used: Q11693 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a,a_{1},\ldots,a_{p}}a,a_{1},\ldots,a_{p} | |||
Property / Symbols used: Q11693 / qualifier | |||
xml-id: C16.S1.XMD4.m1ddec | |||
Property / Symbols used | |||
Property / Symbols used: Q11694 / rank | |||
Normal rank | |||
Property / Symbols used: Q11694 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b,b_{1},\ldots,b_{q}}b,b_{1},\ldots,b_{q} | |||
Property / Symbols used: Q11694 / qualifier | |||
xml-id: C16.S1.XMD5.m1ddec |
Latest revision as of 14:36, 2 January 2020
No description defined
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}.}
0 references
DLMF:16.8.E9
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \genhyperF{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{z}}}
C16.S2.m1acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
introduction.Sx4.p1.t1.r15.m5adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle q}
C16.S1.XMD2.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C16.S1.XMD3.m1hdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a,a_{1},\ldots,a_{p}}
C16.S1.XMD4.m1ddec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b,b_{1},\ldots,b_{q}}
C16.S1.XMD5.m1ddec
0 references