DLMF:21.2.E6 (Q6862): Difference between revisions

Revision as of 14:46, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:21.2.E6	No description defined

{\displaystyle{\displaystyle\theta\genfrac{[}{]}{0.0pt}{}{\boldsymbol{{\alpha}% }}{\boldsymbol{{\beta}}}\left(\mathbf{z}\middle|\boldsymbol{{\Omega}}\right)=e% ^{2\pi i\left(\frac{1}{2}\boldsymbol{{\alpha}}\cdot\boldsymbol{{\Omega}}\cdot% \boldsymbol{{\alpha}}+\boldsymbol{{\alpha}}\cdot[\mathbf{z}+\boldsymbol{{\beta% }}]\right)}\theta\left(\mathbf{z}+\boldsymbol{{\Omega}}\boldsymbol{{\alpha}}+% \boldsymbol{{\beta}}\middle|\boldsymbol{{\Omega}}\right),}}

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DLMF:21.2.E6

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{\displaystyle{\displaystyle\theta\left(\NVar{\mathbf{z}}\middle|\NVar{% \boldsymbol{{\Omega}}}\right)}}

C21.S2.E1.m2acdec

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@@ Property / Symbols used @@
+Riemann theta function
@@ Property / Symbols used: Riemann theta function / rank @@
+Normal rank
@@ Property / Symbols used: Riemann theta function / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\theta\left(\NVar{\mathbf{z}}\middle|\NVar{% \boldsymbol{{\Omega}}}\right)}}$ 
\Riemanntheta@{\NVar{\mathbf{z}}}{\NVar{\boldsymbol{{\Omega}}}}
@@ Property / Symbols used: Riemann theta function / qualifier @@
+xml-id: C21.S2.E1.m2acdec