DLMF:17.6.E24 (Q5391): Difference between revisions

Revision as of 14:00, 2 January 2020

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English	DLMF:17.6.E24	No description defined

{\displaystyle{\displaystyle(1-c)(q-c)(abz-c){{}_{2}\phi_{1}}\left({a,b\atop c% /q};q,z\right)+z(c-a)(c-b){{}_{2}\phi_{1}}\left({a,b\atop cq};q,z\right)=(c-1)% (c(q-c)+z(ca+cb-ab-abq)){{}_{2}\phi_{1}}\left({a,b\atop c};q,z\right).}}

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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.m2awdec

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@@ Property / Symbols used @@
+basic hypergeometric (or $$q$$ -hypergeometric) function
+Normal rank
+test:  ${\displaystyle{\displaystyle{{}_{\NVar{r+1}}\phi_{\NVar{s}}}\left(\NVar{a_{0},% \dots,a_{r}};\NVar{b_{1},\dots,b_{s}};\NVar{q},\NVar{z}\right)}}$ 
\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.m2awdec