DLMF:17.7.E5 (Q5401): Difference between revisions

Revision as of 15:02, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:17.7.E5	No description defined

{\displaystyle{\displaystyle{{}_{3}\phi_{2}}\left({a,b,c\atop e,f};q,q\right)+% \frac{\left(q/e,a,b,c,qf/e;q\right)_{\infty}}{\left(e/q,aq/e,bq/e,cq/e,f;q% \right)_{\infty}}\*{{}_{3}\phi_{2}}\left({aq/e,bq/e,cq/e\atop q^{2}/e,qf/e};q,% q\right)=\frac{\left(q/e,f/a,f/b,f/c;q\right)_{\infty}}{\left(aq/e,bq/e,cq/e,f% ;q\right)_{\infty}},}}

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DLMF:17.7.E5

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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