DLMF:31.11.E12 (Q9098)

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Language	Label	Description	Also known as
English	DLMF:31.11.E12	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle P_{j}=\frac{\Gamma\left(\alpha+j\right)\Gamma% \left(1-\gamma+\alpha+j\right)}{\Gamma\left(1+\alpha-\beta+\epsilon+2j\right)}% z^{-\alpha-j}\*{{}_{2}F_{1}}\left({\alpha+j,1-\gamma+\alpha+j\atop 1+\alpha-% \beta+\epsilon+2j};\frac{1}{z}\right),}}

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DLMF:31.11.E12

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Defining formula

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

C5.S2.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle{{}_{2}F_{1}}\left(\NVar{a},\NVar{b};\NVar{c};% \NVar{z}\right)}}

C16.S2.m5adec

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Defining formula

{\displaystyle{\displaystyle z}}

C31.S1.XMD1.m1bdec

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Defining formula

{\displaystyle{\displaystyle\gamma}}

C31.S1.XMD10.m1edec

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Defining formula

{\displaystyle{\displaystyle\epsilon}}

C31.S1.XMD12.m1cdec

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Defining formula

{\displaystyle{\displaystyle j}}

C31.S1.XMD2.m1fdec

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Defining formula

{\displaystyle{\displaystyle\alpha}}

C31.S1.XMD8.m1fdec

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Defining formula

{\displaystyle{\displaystyle\beta}}

C31.S1.XMD9.m1fdec

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Sitelinks

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