DLMF:16.4.E5 (Q5199): Difference between revisions

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English	DLMF:16.4.E5	No description defined

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Defining formula

{\displaystyle{\displaystyle{{}_{3}F_{2}}\left({-n,b,c\atop 1-b-n,1-c-n};1% \right)=\begin{cases}0,&n=2k+1,\\ \dfrac{(2k)!\Gamma\left(b+k\right)\Gamma\left(c+k\right)\Gamma\left(b+c+2k% \right)}{k!\Gamma\left(b+2k\right)\Gamma\left(c+2k\right)\Gamma\left(b+c+k% \right)},&n=2k,\\ \end{cases}}}

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DLMF:16.4.E5

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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.m1abdec

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Defining formula

{\displaystyle{\displaystyle!}}

introduction.Sx4.p1.t1.r15.m5adec

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Defining formula

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

C16.S1.XMD5.m1ddec

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