DLMF:17.6.E20 (Q5387): Difference between revisions

Revision as of 14:59, 2 January 2020

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English	DLMF:17.6.E20	No description defined

{\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({aq,b/q\atop c};q,z\right)-{% {}_{2}\phi_{1}}\left({a,b\atop c};q,z\right)=az\frac{(1-b/(aq))}{1-c}{{}_{2}% \phi_{1}}\left({aq,b\atop cq};q,z\right),}}

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DLMF:17.6.E20

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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.m2asdec

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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.m2asdec