DLMF:32.11.E28 (Q9463)

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DLMF:32.11.E28
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    Statements

    Defining formula
    B = 2 - 2 ⁢ σ ⁢ Γ 2 ⁡ ( 1 2 ⁢ ( 1 - σ ) ) ⁢ Γ ⁡ ( 1 2 ⁢ ( 1 + σ ) + ν ) Γ 2 ⁡ ( 1 2 ⁢ ( 1 + σ ) ) ⁢ Γ ⁡ ( 1 2 ⁢ ( 1 - σ ) + ν ) . 𝐵 superscript 2 2 𝜎 Euler-Gamma 2 1 2 1 𝜎 Euler-Gamma 1 2 1 𝜎 𝜈 Euler-Gamma 2 1 2 1 𝜎 Euler-Gamma 1 2 1 𝜎 𝜈 {\displaystyle{\displaystyle B=2^{-2\sigma}\frac{{\Gamma^{2}}\left(\tfrac{1}{2% }(1-\sigma)\right)\Gamma\left(\tfrac{1}{2}(1+\sigma)+\nu\right)}{{\Gamma^{2}}% \left(\tfrac{1}{2}(1+\sigma)\right)\Gamma\left(\tfrac{1}{2}(1-\sigma)+\nu% \right)}.}}
    0 references
    DLMF id
    DLMF:32.11.E28
    0 references
    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2afdec
    0 references
    Q12645
    Defining formula
    ν 𝜈 {\displaystyle{\displaystyle\nu}}
    xml-id
    C32.S11.XMD16.m1adec
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    Q12646
    Defining formula
    B 𝐵 {\displaystyle{\displaystyle B}}
    xml-id
    C32.S11.XMD17.m1adec
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    Q12647
    Defining formula
    σ 𝜎 {\displaystyle{\displaystyle\sigma}}
    xml-id
    C32.S11.XMD18.m1bdec
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