DLMF:14.12.E4 (Q4825): Difference between revisions
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Changed an Item: Add constraint |
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.m2acdec |
Revision as of 01:42, 2 January 2020
No description defined
Language | Label | Description | Also known as |
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English | DLMF:14.12.E4 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \assLegendreP[-\mu]{\nu}@{x}=\frac{2^{1/2}\EulerGamma@{\mu+\frac{1}{2}}\left(x^{2}-1\right)^{\mu/2}}{\pi^{1/2}\EulerGamma@{\nu+\mu+1}\EulerGamma@{\mu-\nu}}\*\int_{0}^{\infty}\frac{\cosh@{\left(\nu+\frac{1}{2}\right)t}}{(x+\cosh@@{t})^{\mu+(1/2)}}\diff{t},}
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DLMF:14.12.E4
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(\mu-\nu)}>0}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu+\mu\neq-1,-2,-3,\dots}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Re(\mu-\nu)>0}
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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.m2acdec
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