DLMF:16.4.E15 (Q5209)

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Language	Label	Description	Also known as
English	DLMF:16.4.E15	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{7}F_{6}}\left({a,\frac{1}{2}a+1,b,c,d,e,f% \atop\frac{1}{2}a,a-b+1,a-c+1,a-d+1,a-e+1,a-f+1};1\right)=\frac{\Gamma\left(a-% d+1\right)\Gamma\left(a-e+1\right)\Gamma\left(a-f+1\right)\Gamma\left(a-d-e-f+% 1\right)}{\Gamma\left(a+1\right)\Gamma\left(a-d-e+1\right)\Gamma\left(a-d-f+1% \right)\Gamma\left(a-e-f+1\right)}{{}_{4}F_{3}}\left({a-b-c+1,d,e,f\atop a-b+1% ,a-c+1,d+e+f-a};1\right),}}

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DLMF:16.4.E15

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Defining formula

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

C5.S2.E1.m2afdec

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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.m1aldec

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Defining formula

{\displaystyle{\displaystyle a}}

C16.S4.XMD1.m1ddec

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Defining formula

{\displaystyle{\displaystyle b}}

C16.S4.XMD2.m1ddec

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Defining formula

{\displaystyle{\displaystyle c}}

C16.S4.XMD3.m1ddec

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