DLMF:16.3.E2 (Q5189): Difference between revisions

Revision as of 14:29, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:16.3.E2	No description defined

{\displaystyle{\displaystyle\frac{{\mathrm{d}}^{n}}{{\mathrm{d}z}^{n}}\left(z^% {\gamma}{{}_{p}F_{q}}\left({a_{1},\dots,a_{p}\atop b_{1},\dots,b_{q}};z\right)% \right)={\left(\gamma-n+1\right)_{n}}z^{\gamma-n}{{}_{p+1}F_{q+1}}\left({% \gamma+1,a_{1},\dots,a_{p}\atop\gamma+1-n,b_{1},\dots,b_{q}};z\right),}}

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DLMF:16.3.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