DLMF:16.11.E6 (Q5240): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:16.11.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\left({\textstyle\ifrac{\prod\limits_{\ell=1}^{q+1% }\Gamma\left(a_{\ell}\right)}{\prod\limits_{\ell=1}^{q}\Gamma\left(b_{\ell}% \right)}}\right){{}_{q+1}F_{q}}\left({a_{1},\dots,a_{q+1}\atop b_{1},\dots,b_{% q}};z\right)=H_{q+1,q}(-z),}}

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DLMF:16.11.E6

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{\displaystyle{\displaystyle|\operatorname{ph}\left(-z\right)|\leq\pi}}

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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{{}_{\NVar{p}}F_{\NVar{q}}}\left(\NVar{a_{1},\dots% ,a_{p}};\NVar{b_{1},\dots,b_{q}};\NVar{z}\right)}}

C16.S2.m1adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aadec

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Defining formula

{\displaystyle{\displaystyle\operatorname{ph}}}

C1.S9.E7.m1adec

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Defining formula

{\displaystyle{\displaystyle q}}

C16.S1.XMD2.m1ddec

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Defining formula

{\displaystyle{\displaystyle z}}

C16.S1.XMD3.m1bdec

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Defining formula

{\displaystyle{\displaystyle a,a_{1},\ldots,a_{p}}}

C16.S1.XMD4.m1cdec

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Defining formula

{\displaystyle{\displaystyle b,b_{1},\ldots,b_{q}}}

C16.S1.XMD5.m1cdec

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