DLMF:19.23.E10 (Q6481)

No description defined

Language	Label	Description	Also known as
English	DLMF:19.23.E10	No description defined

Statements

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Carlsonmultivarhyper{-a}@{\mathbf{b}}{\mathbf{z}}=\frac{1}{\EulerBeta@{a}{a^{\prime}}}\int_{0}^{1}u^{a-1}(1-u)^{a^{\prime}-1}\*\prod_{j=1}^{n}(1-u+uz_{j})^{-b_{j}}\diff{u},}

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DLMF id

DLMF:19.23.E10

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constraint

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z_{j}\in\Complexes\setminus(-\infty,0]}

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a+a^{\prime}=\sum_{j=1}^{n}b_{j}}

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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z_{j}\in\mathbb{C}\setminus(-\infty,0]}

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Symbols used

multivariate hypergeometric function

Defining formula

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Carlsonmultivarhyper{\NVar{-a}}@{\NVar{b_{1}},\dots,\NVar{b_{n}}}{\NVar{z_{1}},\dots,\NVar{z_{n}}}}

xml-id

C19.S16.E9.m2abdec

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beta function

Defining formula

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

xml-id

C5.S12.E1.m2aadec

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Q10923

Defining formula

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

xml-id

introduction.Sx4.p1.t1.r1.m2aadec

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Q10770

Defining formula

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

xml-id

C1.S4.SS4.m1aidec

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Q10784

Defining formula

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

xml-id

introduction.Sx4.p1.t1.r10.m2aadec

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Q10771

Defining formula

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