DLMF:28.28.E28 (Q8455): Difference between revisions

Revision as of 15:25, 2 January 2020

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Language	Label	Description	Also known as
English	DLMF:28.28.E28	No description defined

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

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DLMF:28.28.E28

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

C28.S28.E24.m1addec

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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.m1addec