DLMF:16.4.E17 (Q5211)

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DLMF:16.4.E17
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    Statements

    test
    H 2 2 ⁡ ( a , b c , d ; 1 ) = Γ ⁡ ( c ) ⁢ Γ ⁡ ( d ) ⁢ Γ ⁡ ( 1 - a ) ⁢ Γ ⁡ ( 1 - b ) ⁢ Γ ⁡ ( c + d - a - b - 1 ) Γ ⁡ ( c - a ) ⁢ Γ ⁡ ( d - a ) ⁢ Γ ⁡ ( c - b ) ⁢ Γ ⁡ ( d - b ) , hypergeometric-pHq 2 2 𝑎 𝑏 𝑐 𝑑 1 Euler-Gamma 𝑐 Euler-Gamma 𝑑 Euler-Gamma 1 𝑎 Euler-Gamma 1 𝑏 Euler-Gamma 𝑐 𝑑 𝑎 𝑏 1 Euler-Gamma 𝑐 𝑎 Euler-Gamma 𝑑 𝑎 Euler-Gamma 𝑐 𝑏 Euler-Gamma 𝑑 𝑏 {\displaystyle{\displaystyle{{}_{2}H_{2}}\left({a,b\atop c,d};1\right)=\frac{% \Gamma\left(c\right)\Gamma\left(d\right)\Gamma\left(1-a\right)\Gamma\left(1-b% \right)\Gamma\left(c+d-a-b-1\right)}{\Gamma\left(c-a\right)\Gamma\left(d-a% \right)\Gamma\left(c-b\right)\Gamma\left(d-b\right)},}}
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    DLMF id
    DLMF:16.4.E17
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