DLMF:10.43.E22 (Q3636): Difference between revisions
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Created a new Item: Wikidata Toolkit example test item creation |
Changed an Item: Add constraint |
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Property / Symbols used | |||
Property / Symbols used: gamma function / rank | |||
Normal rank | |||
Property / Symbols used: gamma function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}\EulerGamma@{\NVar{z}} | |||
Property / Symbols used: gamma function / qualifier | |||
xml-id: C5.S2.E1.m2afdec |
Revision as of 14:02, 2 January 2020
No description defined
Language | Label | Description | Also known as |
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English | DLMF:10.43.E22 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}t^{\mu-1}e^{-at}\modBesselK{\nu}@{t}\diff{t}=\begin{cases}\left(\frac{1}{2}\pi\right)^{\frac{1}{2}}\EulerGamma@{\mu-\nu}\EulerGamma@{\mu+\nu}(1-a^{2})^{-\frac{1}{2}\mu+\frac{1}{4}}\FerrersP[-\mu+\frac{1}{2}]{\nu-\frac{1}{2}}@{a},&-1<a<1,\\ \left(\frac{1}{2}\pi\right)^{\frac{1}{2}}\EulerGamma@{\mu-\nu}\EulerGamma@{\mu+\nu}(a^{2}-1)^{-\frac{1}{2}\mu+\frac{1}{4}}\assLegendreP[-\mu+\frac{1}{2}]{\nu-\frac{1}{2}}@{a},&\realpart@@{a}\geq 0,a\neq 1.\end{cases}}
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DLMF:10.43.E22
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2afdec
0 references