DLMF:31.10.E11 (Q9062): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:31.10.E11	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathcal{K}(z,t)=(zt-a)^{\frac{1}{2}-\delta-\sigma% }\left(\ifrac{zt}{a}\right)^{-\frac{1}{2}+\delta+\sigma-\alpha}\*{{}_{2}F_{1}}% \left({\frac{1}{2}-\delta-\sigma+\alpha,\frac{3}{2}-\delta-\sigma+\alpha-% \gamma\atop\alpha-\beta+1};\frac{a}{zt}\right)\*P\begin{Bmatrix}0&1&\infty&\\ 0&0&-\frac{1}{2}+\delta+\sigma&\dfrac{(z-a)(t-a)}{(1-a)(zt-a)}\\ 1-\epsilon&1-\delta&-\frac{1}{2}+\epsilon-\sigma&\end{Bmatrix}.}}

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DLMF:31.10.E11

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Defining formula

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

C16.S2.m5aadec

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Riemann’s $$P$$ -symbol for solutions of the generalized hypergeometric differential equation

Defining formula

{\displaystyle{\displaystyle P\NVar{\begin{Bmatrix}\alpha&\beta&\gamma&\\ a_{1}&b_{1}&c_{1}&z\\ a_{2}&b_{2}&c_{2}&\end{Bmatrix}}}}

C15.S11.E3.m2aadec

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Defining formula

{\displaystyle{\displaystyle z}}

C31.S1.XMD1.m1edec

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Defining formula

{\displaystyle{\displaystyle\gamma}}

C31.S1.XMD10.m1fdec

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Defining formula

{\displaystyle{\displaystyle\delta}}

C31.S1.XMD11.m1fdec

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Defining formula

{\displaystyle{\displaystyle\epsilon}}

C31.S1.XMD12.m1fdec

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Defining formula

{\displaystyle{\displaystyle a}}

C31.S1.XMD6.m1edec

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