DLMF:17.5.E5 (Q5367): Difference between revisions

Revision as of 14:57, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:17.5.E5	No description defined

{\displaystyle{\displaystyle{{}_{1}\phi_{1}}\left({a\atop c};q,c/a\right)=% \frac{\left(c/a;q\right)_{\infty}}{\left(c;q\right)_{\infty}},}}

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DLMF:17.5.E5

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{\displaystyle{\displaystyle|c|<|a|}}

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{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

C17.S2.SS1.p1.m2addec

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{\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}

C17.S4.E1.m2addec

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@@ Property / Symbols used @@
+basic hypergeometric (or $$q$$ -hypergeometric) function
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}$ 
\qgenhyperphi{\NVar{r+1}}{\NVar{s}}@{\NVar{a_{0},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}
+xml-id: C17.S4.E1.m2addec