DLMF:15.8.E2 (Q5059)

No description defined

Language	Label	Description	Also known as
English	DLMF:15.8.E2	No description defined

Statements

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{\sin@{\pi(b-a)}}{\pi}\hyperOlverF@@{a}{b}{c}{z}=\frac{(-z)^{-a}}{\EulerGamma@{b}\EulerGamma@{c-a}}\hyperOlverF@@{a}{a-c+1}{a-b+1}{\frac{1}{z}}-\frac{(-z)^{-b}}{\EulerGamma@{a}\EulerGamma@{c-b}}\hyperOlverF@@{b}{b-c+1}{b-a+1}{\frac{1}{z}},}

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DLMF id

DLMF:15.8.E2

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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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Symbols used

gamma function

Defining formula

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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the ratio of the circumference of a circle to its diameter

Defining formula

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

xml-id

C3.S12.E1.m2aadec

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Q10817

Defining formula

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