DLMF:35.8.E6 (Q9828)

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Language	Label	Description	Also known as
English	DLMF:35.8.E6	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle{{}_{3}F_{2}}\left({a_{1},a_{2},a_{3}\atop b_{1},b% _{2}};\mathbf{I}\right)=\frac{\Gamma_{m}\left(b_{1}-a_{1}\right)\Gamma_{m}% \left(b_{1}-a_{2}\right)}{\Gamma_{m}\left(b_{1}\right)\Gamma_{m}\left(b_{1}-a_% {1}-a_{2}\right)}\*\frac{\Gamma_{m}\left(b_{1}-a_{3}\right)\Gamma_{m}\left(b_{% 1}-a_{1}-a_{2}-a_{3}\right)}{\Gamma_{m}\left(b_{1}-a_{1}-a_{3}\right)\Gamma_{m% }\left(b_{1}-a_{2}-a_{3}\right)}.}}

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DLMF:35.8.E6

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generalized hypergeometric function of matrix argument

Defining formula

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

C35.S8.E1.m2aedec

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Defining formula

{\displaystyle{\displaystyle\Gamma_{\NVar{m}}\left(\NVar{a}\right)}}

C35.S3.SS1.m1abdec

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