DLMF:15.9.E22 (Q5112): 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 14:11, 2 January 2020
No description defined
Language | Label | Description | Also known as |
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English | DLMF:15.9.E22 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperOlverF@@{a}{b}{\tfrac{1}{2}}{z}=\frac{2^{a+b-(\ifrac{3}{2})}}{\pi}\EulerGamma@{a+\tfrac{1}{2}}\EulerGamma@{b+\tfrac{1}{2}}\*(z-1)^{(-a-b+(\ifrac{1}{2}))/2}\*\left(e^{\pm\pi\iunit(a+b-(\ifrac{1}{2}))}\assLegendreP[-a-b+(\ifrac{1}{2})]{a-b-(\ifrac{1}{2})}@{-\sqrt{z}}+\assLegendreP[-a-b+(\ifrac{1}{2})]{a-b-(\ifrac{1}{2})}@{\sqrt{z}}\right),}
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DLMF:15.9.E22
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0<|\phase@@{z}|<\pi}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a,b\neq-\frac{1}{2},-\frac{3}{2},-\frac{5}{2},\dotsc}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 0<|\operatorname{ph}z|<\pi}
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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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