DLMF:17.7.E21 (Q5417): Difference between revisions

Revision as of 15:04, 2 January 2020

No description defined

Language	Label	Description	Also known as
English	DLMF:17.7.E21	No description defined

{\displaystyle{\displaystyle\sum_{k=0}^{n}\frac{(1-ap^{k}q^{k})(1-bp^{k}q^{-k}% )}{(1-a)(1-b)}\frac{\left(a,b;p\right)_{k}\left(c,a/(bc);q\right)_{k}}{\left(q% ,aq/b;q\right)_{k}\left(ap/c,bcp;p\right)_{k}}q^{k}=\frac{\left(ap,bp;p\right)% _{n}\left(cq,aq/(bc);q\right)_{n}}{\left(q,aq/b;q\right)_{n}\left(ap/c,bcp;p% \right)_{n}},}}

0 references

DLMF:17.7.E21

0 references

{\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}

C17.S2.SS1.p1.m6ardec

0 references

@@ Property / Symbols used @@
+Q11713
@@ Property / Symbols used: Q11713 / rank @@
+Normal rank
@@ Property / Symbols used: Q11713 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\left(\NVar{a_{1},a_{2},\dots,a_{r}};\NVar{q}% \right)_{\NVar{n}}}}$ 
\qmultiPochhammersym{\NVar{a_{1},a_{2},\dots,a_{r}}}{\NVar{q}}{\NVar{n}}
@@ Property / Symbols used: Q11713 / qualifier @@
+xml-id: C17.S2.SS1.p1.m6ardec