DLMF:15.4.E20 (Q5004)

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DLMF:15.4.E20
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    F ( a , b ; c ; 1 ) = Γ ( c ) Γ ( c - a - b ) Γ ( c - a ) Γ ( c - b ) . Gauss-hypergeometric-F 𝑎 𝑏 𝑐 1 Euler-Gamma 𝑐 Euler-Gamma 𝑐 𝑎 𝑏 Euler-Gamma 𝑐 𝑎 Euler-Gamma 𝑐 𝑏 {\displaystyle{\displaystyle F\left(a,b;c;1\right)=\frac{\Gamma\left(c\right)% \Gamma\left(c-a-b\right)}{\Gamma\left(c-a\right)\Gamma\left(c-b\right)}.}}
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