DLMF:16.18.E1 (Q5280): Difference between revisions

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Language	Label	Description	Also known as
English	DLMF:16.18.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{p}F_{q}}\left({a_{1},\dots,a_{p}\atop b_{1},% \dots,b_{q}};z\right)=\left({\textstyle\ifrac{\prod\limits_{k=1}^{q}\Gamma% \left(b_{k}\right)}{\prod\limits_{k=1}^{p}\Gamma\left(a_{k}\right)}}\right){G^% {1,p}_{p,q+1}}\left(-z;{1-a_{1},\dots,1-a_{p}\atop 0,1-b_{1},\dots,1-b_{q}}% \right)=\left({\textstyle\ifrac{\prod\limits_{k=1}^{q}\Gamma\left(b_{k}\right)% }{\prod\limits_{k=1}^{p}\Gamma\left(a_{k}\right)}}\right){G^{p,1}_{q+1,p}}% \left(-\frac{1}{z};{1,b_{1},\dots,b_{q}\atop a_{1},\dots,a_{p}}\right).}}

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DLMF:16.18.E1

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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{{}_{\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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Meijer $$G$$ -function

Defining formula

{\displaystyle{\displaystyle{G^{\NVar{m},\NVar{n}}_{\NVar{p},\NVar{q}}}\left(% \NVar{z};{\NVar{a_{1},\dots,a_{p}}\atop\NVar{b_{1},\dots,b_{q}}}\right)}}

C16.S17.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle p}}

C16.S1.XMD1.m1dec

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Defining formula

{\displaystyle{\displaystyle q}}

C16.S1.XMD2.m1dec

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Defining formula

{\displaystyle{\displaystyle z}}

C16.S1.XMD3.m1dec

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Defining formula

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

C16.S1.XMD4.m1dec

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Sitelinks

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