DLMF:15.16.E5 (Q5182)

No description defined

Language	Label	Description	Also known as
English	DLMF:15.16.E5	No description defined

Statements

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@@{\frac{1}{2}+\lambda}{-\frac{1}{2}-\nu}{1+\lambda+\mu}{z}\hyperF@@{\frac{1}{2}-\lambda}{\frac{1}{2}+\nu}{1+\nu+\mu}{1-z}+\hyperF@@{\frac{1}{2}+\lambda}{\frac{1}{2}-\nu}{1+\lambda+\mu}{z}\hyperF@@{-\frac{1}{2}-\lambda}{\frac{1}{2}+\nu}{1+\nu+\mu}{1-z}-\hyperF@@{\frac{1}{2}+\lambda}{\frac{1}{2}-\nu}{1+\lambda+\mu}{z}\hyperF@@{\frac{1}{2}-\lambda}{\frac{1}{2}+\nu}{1+\nu+\mu}{1-z}=\frac{\EulerGamma@{1+\lambda+\mu}\EulerGamma@{1+\nu+\mu}}{\EulerGamma@{\lambda+\mu+\nu+\frac{3}{2}}\EulerGamma@{\frac{1}{2}+\nu}},}

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DLMF id

DLMF:15.16.E5

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constraint

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@@{z}|<\pi}

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase@{1-z}|<\pi}

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Symbols used

gamma function

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}

xml-id

C5.S2.E1.m2adec

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$$={{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Gauss’ hypergeometric function

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}

xml-id

C15.S2.E1.m2addec

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the ratio of the circumference of a circle to its diameter

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}

xml-id

C3.S12.E1.m2adec

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Q10817

test

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \phase}