DLMF:16.10.E2 (Q5232): Difference between revisions

Revision as of 14:37, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:16.10.E2	No description defined

{\displaystyle{\displaystyle{{}_{p+1}F_{p}}\left({a_{1},\dots,a_{p+1}\atop b_{% 1},\dots,b_{p}};z\zeta\right)=(1-z)^{-a_{1}}\sum_{k=0}^{\infty}\frac{{\left(a_% {1}\right)_{k}}}{k!}{{}_{p+1}F_{p}}\left({-k,a_{2},\dots,a_{p+1}\atop b_{1},% \dots,b_{p}};\zeta\right)\left(\frac{z}{z-1}\right)^{k}.}}

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DLMF:16.10.E2

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{\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}

C16.S2.m1aadec

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@@ Property / Symbols used @@
+Q11125
@@ Property / Symbols used: Q11125 / rank @@
+Normal rank
@@ Property / Symbols used: Q11125 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}$ 
\genhyperF{\NVar{p}}{\NVar{q}}@{\NVar{a_{1},\dots,a_{p}}}{\NVar{b_{1},\dots,b_{q}}}{\NVar{z}}
@@ Property / Symbols used: Q11125 / qualifier @@
+xml-id: C16.S2.m1aadec