DLMF:16.17.E1 (Q5277)

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Language	Label	Description	Also known as
English	DLMF:16.17.E1	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{G^{m,n}_{p,q}}\left(z;\mathbf{a};\mathbf{b}\right% )={G^{m,n}_{p,q}}\left(z;{a_{1},\dots,a_{p}\atop b_{1},\dots,b_{q}}\right)=% \frac{1}{2\pi\mathrm{i}}\int_{L}\left({\textstyle\ifrac{\prod\limits_{\ell=1}^% {m}\Gamma\left(b_{\ell}-s\right)\prod\limits_{\ell=1}^{n}\Gamma\left(1-a_{\ell% }+s\right)}{\left(\prod\limits_{\ell=m}^{q-1}\Gamma\left(1-b_{\ell+1}+s\right)% \prod\limits_{\ell=n}^{p-1}\Gamma\left(a_{\ell+1}-s\right)\right)}}\right)z^{s% }\mathrm{d}s,}}

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DLMF:16.17.E1

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Symbols defined

Meijer $$G$$ -function

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Defining formula

{\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}

C5.S2.E1.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1adec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2adec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3adec

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Sitelinks

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