DLMF:2.5.E10 (Q786): Difference between revisions

Revision as of 17:02, 1 January 2020

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Language	Label	Description	Also known as
English	DLMF:2.5.E10	No description defined

{\displaystyle{\displaystyle\mathscr{M}\mskip-3.0mu h\mskip 3.0mu \left(z% \right)=\frac{2^{z-1}\Gamma\left(\nu+\frac{1}{2}z\right)}{{\Gamma^{2}}\left(1-% \frac{1}{2}z\right)\Gamma\left(1+\nu-\frac{1}{2}z\right)\Gamma\left(z\right)}% \frac{\pi}{\sin\left(\pi z\right)},}}

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DLMF:2.5.E10

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{\displaystyle{\displaystyle-2\nu<\Re z<1}}

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{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2adec

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{\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}

C1.S14.E32.m2agdec

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@@ Property / Symbols used @@
+Mellin transform
@@ Property / Symbols used: Mellin transform / rank @@
+Normal rank
@@ Property / Symbols used: Mellin transform / qualifier @@
+Defining formula:  ${\displaystyle{\displaystyle\mathscr{M}\left(\NVar{f}\right)\left(\NVar{s}% \right)}}$ 
\Mellintrans@{\NVar{f}}@{\NVar{s}}
@@ Property / Symbols used: Mellin transform / qualifier @@
+xml-id: C1.S14.E32.m2agdec