DLMF:15.11.E8 (Q5160)

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Language	Label	Description	Also known as
English	DLMF:15.11.E8	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle z^{\lambda}(1-z)^{\mu}P\begin{Bmatrix}0&1&\infty&% \\ a_{1}&b_{1}&c_{1}&z\\ a_{2}&b_{2}&c_{2}&\end{Bmatrix}=P\begin{Bmatrix}0&1&\infty&\\ a_{1}+\lambda&b_{1}+\mu&c_{1}-\lambda-\mu&z\\ a_{2}+\lambda&b_{2}+\mu&c_{2}-\lambda-\mu&\end{Bmatrix},}}

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DLMF:15.11.E8

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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.m2addec

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Defining formula

{\displaystyle{\displaystyle z}}

C15.S1.XMD3.m1fdec

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Defining formula

{\displaystyle{\displaystyle a}}

C15.S1.XMD4.m1fdec

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Defining formula

{\displaystyle{\displaystyle b}}

C15.S1.XMD5.m1fdec

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Defining formula

{\displaystyle{\displaystyle c}}

C15.S1.XMD6.m1fdec

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Defining formula

{\displaystyle{\displaystyle\lambda}}

C15.S11.XMD7.m1adec

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Defining formula

{\displaystyle{\displaystyle\mu}}

C15.S11.XMD8.m1adec

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