DLMF:16.11.E11 (Q5245): Difference between revisions

Revision as of 14:39, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:16.11.E11	No description defined

{\displaystyle{\displaystyle{{}_{p}F_{q}}\left({a_{1}+r,\dots,a_{p}+r\atop b_{% 1}+r,\dots,b_{q}+r};z\right)=\sum_{n=0}^{m-1}\frac{{\left(a_{1}+r\right)_{n}}% \cdots{\left(a_{p}+r\right)_{n}}}{{\left(b_{1}+r\right)_{n}}\cdots{\left(b_{q}% +r\right)_{n}}}\frac{z^{n}}{n!}+O\left(\frac{1}{r^{(q-p)m}}\right),}}

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DLMF:16.11.E11

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{\displaystyle{\displaystyle O\left(\NVar{x}\right)}}

C2.S1.E3.m2aadec

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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.m1aedec

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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.m1aedec