DLMF:28.28.E32 (Q8459): Difference between revisions

Revision as of 15:27, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:28.28.E32	No description defined

{\displaystyle{\displaystyle\dfrac{\sinh\left(2z\right)}{\pi^{2}}\int_{0}^{2% \pi}\dfrac{\mathrm{me}_{\nu}'\left(t,h^{2}\right)\mathrm{me}_{-\nu-2m}\left(t,% h^{2}\right)}{{\sinh^{2}}z+{\sin^{2}}t}\mathrm{d}t=(-1)^{m+1}\mathrm{i}\gamma_% {\nu,m}\mathrm{D}_{1}\left(\nu,\nu+2m,z\right),}}

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DLMF:28.28.E32

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{\displaystyle{\displaystyle\mathrm{D}_{\NVar{j}}\left(\NVar{\nu},\NVar{\mu},% \NVar{z}\right)}}

C28.S28.E24.m1ahdec

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@@ Property / Symbols used @@
+Q12317
@@ Property / Symbols used: Q12317 / rank @@
+Normal rank
@@ Property / Symbols used: Q12317 / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathrm{D}_{\NVar{j}}\left(\NVar{\nu},\NVar{\mu},% \NVar{z}\right)}}$ 
\modMathieuD{\NVar{j}}@{\NVar{\nu}}{\NVar{\mu}}{\NVar{z}}
@@ Property / Symbols used: Q12317 / qualifier @@
+xml-id: C28.S28.E24.m1ahdec