DLMF:16.4.E3 (Q5197)

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DLMF:16.4.E3
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    F 2 3 ( - n , a , b c , d ; 1 ) = ( c - a ) n ( c - b ) n ( c ) n ( c - a - b ) n , Gauss-hypergeometric-pFq 3 2 𝑛 𝑎 𝑏 𝑐 𝑑 1 Pochhammer 𝑐 𝑎 𝑛 Pochhammer 𝑐 𝑏 𝑛 Pochhammer 𝑐 𝑛 Pochhammer 𝑐 𝑎 𝑏 𝑛 {\displaystyle{\displaystyle{{}_{3}F_{2}}\left({-n,a,b\atop c,d};1\right)=% \frac{{\left(c-a\right)_{n}}{\left(c-b\right)_{n}}}{{\left(c\right)_{n}}{\left% (c-a-b\right)_{n}}},}}
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