DLMF:17.10.E1 (Q5447): Difference between revisions

Revision as of 15:08, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:17.10.E1	No description defined

{\displaystyle{\displaystyle{{}_{2}\psi_{2}}\left({a,b\atop c,d};q,z\right)=% \frac{\left(az,d/a,c/b,dq/(abz);q\right)_{\infty}}{\left(z,d,q/b,cd/(abz);q% \right)_{\infty}}{{}_{2}\psi_{2}}\left({a,abz/d\atop az,c};q,\frac{d}{a}\right% ),}}

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DLMF:17.10.E1

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

C17.S4.E3.m2adec

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@@ Property / Symbols used @@
+bilateral basic hypergeometric (or bilateral $$q$$ -hypergeometric) function
+Normal rank
+Defining formula:  ${\displaystyle{\displaystyle{{}_{\NVar{r}}\psi_{\NVar{s}}}\left(\NVar{a_{1},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}$ 
\qgenhyperpsi{\NVar{r}}{\NVar{s}}@{\NVar{a_{1},\dots,a_{r}}}{\NVar{b_{1},\dots,b_{s}}}{\NVar{q}}{\NVar{z}}
+xml-id: C17.S4.E3.m2adec