DLMF:31.10.E22 (Q9077)

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Language	Label	Description	Also known as
English	DLMF:31.10.E22	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\mathcal{K}(r,\theta,\phi)=r^{m}{\sin^{2p}}\theta P% \begin{Bmatrix}0&1&\infty&\\ 0&0&a&{\cos^{2}}\theta\\ \tfrac{1}{2}(3-\gamma)&c&b&\end{Bmatrix}\*P\begin{Bmatrix}0&1&\infty&\\ 0&0&a^{\prime}&{\cos^{2}}\phi\\ 1-\epsilon&1-\delta&b^{\prime}&\end{Bmatrix},}}

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DLMF:31.10.E22

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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.m2abdec

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cosine function

Defining formula

{\displaystyle{\displaystyle\cos\NVar{z}}}

C4.S14.E2.m2acdec

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Defining formula

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

C4.S14.E1.m2addec

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Defining formula

{\displaystyle{\displaystyle\gamma}}

C31.S1.XMD10.m1kdec

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Defining formula

{\displaystyle{\displaystyle\delta}}

C31.S1.XMD11.m1kdec

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Defining formula

{\displaystyle{\displaystyle\epsilon}}

C31.S1.XMD12.m1kdec

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Defining formula

{\displaystyle{\displaystyle m}}

C31.S1.XMD4.m1dec

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Defining formula

{\displaystyle{\displaystyle a}}

C31.S1.XMD6.m1hdec

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kernel (locally)

Defining formula

{\displaystyle{\displaystyle\mathcal{K}(z;s,t)}}

C31.S10.XMD13.m1gdec

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Defining formula

{\displaystyle{\displaystyle r}}

C31.S10.XMD18.m1bdec

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Defining formula

{\displaystyle{\displaystyle\theta}}

C31.S10.XMD19.m1bdec

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Defining formula

{\displaystyle{\displaystyle\phi}}

C31.S10.XMD20.m1bdec

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Defining formula

{\displaystyle{\displaystyle b}}

C31.S10.XMD21.m1dec

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Defining formula

{\displaystyle{\displaystyle c}}

C31.S10.XMD22.m1dec

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Sitelinks

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