DLMF:18.28.E10 (Q5985): Difference between revisions

Revision as of 13:22, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:18.28.E10	No description defined

{\displaystyle{\displaystyle\sum_{y=0}^{\infty}\frac{(1-q^{2y}a^{-2})\left(a^{% -2},(ab)^{-1};q\right)_{y}}{(1-a^{-2})\left(q,bqa^{-1};q\right)_{y}}(ba^{-1})^% {y}q^{y^{2}}\*Q_{n}\left(\tfrac{1}{2}(aq^{-y}+a^{-1}q^{y});a,b\,|\,q^{-1}% \right)\*Q_{m}\left(\tfrac{1}{2}(aq^{-y}+a^{-1}q^{y});a,b\,|\,q^{-1}\right)=% \frac{\left(qa^{-2};q\right)_{\infty}}{\left(ba^{-1}q;q\right)_{\infty}}\left(% q,(ab)^{-1};q\right)_{n}(ab)^{n}q^{-n^{2}}\delta_{n,m}.}}

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DLMF:18.28.E10

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{\displaystyle{\displaystyle\delta_{\NVar{j},\NVar{k}}}}

introduction.Sx4.p1.t1.r4.m5acdec

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{\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}

C17.S2.SS1.p1.m2agdec

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@@ Property / Symbols used @@
+Q11298
@@ Property / Symbols used: Q11298 / rank @@
+Normal rank
@@ Property / Symbols used: Q11298 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\left(\NVar{a};\NVar{q}\right)_{\NVar{n}}}}$ 
\qPochhammer{\NVar{a}}{\NVar{q}}{\NVar{n}}
@@ Property / Symbols used: Q11298 / qualifier @@
+xml-id: C17.S2.SS1.p1.m2agdec