DLMF:17.6.E29 (Q5396): Difference between revisions

Revision as of 14:01, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:17.6.E29	No description defined

{\displaystyle{\displaystyle{{}_{2}\phi_{1}}\left({a,b\atop c};q,z\right)=% \left(\frac{-1}{2\pi i}\right)\frac{\left(a,b;q\right)_{\infty}}{\left(q,c;q% \right)_{\infty}}\int_{-i\infty}^{i\infty}\frac{\left(q^{1+\zeta},cq^{\zeta};q% \right)_{\infty}}{\left(aq^{\zeta},bq^{\zeta};q\right)_{\infty}}\frac{\pi(-z)^% {\zeta}}{\sin\left(\pi\zeta\right)}\mathrm{d}\zeta,}}

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{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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@@ Property / Symbols used @@
+the ratio of the circumference of a circle to its diameter
+Normal rank
+test:  ${\displaystyle{\displaystyle\pi}}$ 
\cpi
+xml-id: C3.S12.E1.m2adec