DLMF:5.5.E8 (Q2066)

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DLMF:5.5.E8
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    Statements

    test
    ψ ⁡ ( 2 ⁢ z ) = 1 2 ⁢ ( ψ ⁡ ( z ) + ψ ⁡ ( z + 1 2 ) ) + ln ⁡ 2 , digamma 2 𝑧 1 2 digamma 𝑧 digamma 𝑧 1 2 2 {\displaystyle{\displaystyle\psi\left(2z\right)=\tfrac{1}{2}\left(\psi\left(z% \right)+\psi\left(z+\tfrac{1}{2}\right)\right)+\ln 2,}}
    0 references
    DLMF id
    DLMF:5.5.E8
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    Symbols used
    psi (or digamma) function
    test
    ψ ⁡ ( z ) digamma 𝑧 {\displaystyle{\displaystyle\psi\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E2.m2abdec
    0 references
    principal branch of logarithm function
    test
    ln ⁡ z 𝑧 {\displaystyle{\displaystyle\ln\NVar{z}}}
    xml-id
    C4.S2.E2.m2adec
    0 references
    Q11273
    test
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C5.S1.XMD7.m1fdec
    0 references
     
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