DLMF:15.9.E22 (Q5112)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| 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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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \assLegendreP[\NVar{\mu}]{\NVar{\nu}}@{\NVar{z}}}
C14.S21.SS1.p1.m1afdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2agdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2abdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2aedec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}
C1.S9.E7.m1afdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperOlverF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}
C15.S2.E2.m2afdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C15.S1.XMD3.m1gdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a}
C15.S1.XMD4.m1fdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b}
C15.S1.XMD5.m1ddec
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