DLMF:19.23.E9 (Q6480)

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Language	Label	Description	Also known as
English	DLMF:19.23.E9	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle R_{-a}\left(\mathbf{b};\mathbf{z}\right)=\frac{4% \Gamma\left(b_{1}+b_{2}+b_{3}\right)}{\Gamma\left(b_{1}\right)\Gamma\left(b_{2% }\right)\Gamma\left(b_{3}\right)}\int_{0}^{\pi/2}\!\!\!\!\int_{0}^{\pi/2}\left% (\sum_{j=1}^{3}z_{j}l_{j}^{2}\right)^{-a}\*\prod_{j=1}^{3}l_{j}^{2b_{j}-1}\sin% \theta\mathrm{d}\theta\mathrm{d}\phi,}}

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DLMF:19.23.E9

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{\displaystyle{\displaystyle\Re z_{j}>0}}

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{\displaystyle{\displaystyle b_{j}>0}}

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{\displaystyle{\displaystyle\Re z_{j}>0}}

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multivariate hypergeometric function

Defining formula

{\displaystyle{\displaystyle R_{\NVar{-a}}\left(\NVar{b_{1}},\dots,\NVar{b_{n}% };\NVar{z_{1}},\dots,\NVar{z_{n}}\right)}}

C19.S16.E9.m2aadec

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2agdec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1ahdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ahdec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1abdec

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Defining formula

{\displaystyle{\displaystyle\sin\NVar{z}}}

C4.S14.E1.m2afdec

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Defining formula

{\displaystyle{\displaystyle l}}

C19.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle\phi}}

C19.S1.XMD4.m1adec

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Sitelinks

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