DLMF:20.5.E11 (Q6778): Difference between revisions

Revision as of 14:34, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:20.5.E11	No description defined

{\displaystyle{\displaystyle\frac{\theta_{2}'\left(z,q\right)}{\theta_{2}\left% (z,q\right)}+\tan z=-4\sin\left(2z\right)\sum_{n=1}^{\infty}\frac{q^{2n}}{1+2q% ^{2n}\cos\left(2z\right)+q^{4n}}=4\sum_{n=1}^{\infty}(-1)^{n}\frac{q^{2n}}{1-q% ^{2n}}\sin\left(2nz\right).}}

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DLMF:20.5.E11

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{\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}

C20.S2.SS1.m2aedec

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@@ Property / Symbols used @@
+Q11945
@@ Property / Symbols used: Q11945 / rank @@
+Normal rank
@@ Property / Symbols used: Q11945 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\theta_{\NVar{j}}\left(\NVar{z},\NVar{q}\right)}}$ 
\Jacobithetaq{\NVar{j}}@{\NVar{z}}{\NVar{q}}
@@ Property / Symbols used: Q11945 / qualifier @@
+xml-id: C20.S2.SS1.m2aedec