DLMF:16.15.E2 (Q5264)

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Language	Label	Description	Also known as
English	DLMF:16.15.E2	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{F_{2}}\left(\alpha;\beta,\beta^{\prime};\gamma,% \gamma^{\prime};x,y\right)=\frac{\Gamma\left(\gamma\right)\Gamma\left(\gamma^{% \prime}\right)}{\Gamma\left(\beta\right)\Gamma\left(\beta^{\prime}\right)% \Gamma\left(\gamma-\beta\right)\Gamma\left(\gamma^{\prime}-\beta^{\prime}% \right)}\int_{0}^{1}\!\!\!\int_{0}^{1}\frac{u^{\beta-1}v^{\beta^{\prime}-1}(1-% u)^{\gamma-\beta-1}(1-v)^{\gamma^{\prime}-\beta^{\prime}-1}}{(1-ux-vy)^{\alpha% }}\mathrm{d}u\mathrm{d}v,}}

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DLMF:16.15.E2

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{\displaystyle{\displaystyle\Re\gamma>\Re\beta>0}}

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{\displaystyle{\displaystyle\Re\gamma^{\prime}>\Re\beta^{\prime}>0}}

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second Appell function

Defining formula

{\displaystyle{\displaystyle{F_{2}}\left(\NVar{\alpha};\NVar{\beta},\NVar{% \beta^{\prime}};\NVar{\gamma},missing;missing,missing\right)\)\@add@PDF@RDFa@triples\end{document}}}

C16.S13.E2.m2adec

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Defining formula

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

C5.S2.E1.m2aadec

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Defining formula

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

C1.S4.SS4.m1aadec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3aadec

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Defining formula

{\displaystyle{\displaystyle\Re}}

C1.S9.E2.m1aadec

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Sitelinks

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