DLMF:5.2.E2 (Q2027)

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DLMF:5.2.E2
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    Statements

    Defining formula
    ψ ⁡ ( z ) = Γ ′ ⁡ ( z ) / Γ ⁡ ( z ) , digamma 𝑧 diffop Euler-Gamma 1 𝑧 Euler-Gamma 𝑧 {\displaystyle{\displaystyle\psi\left(z\right)=\Gamma'\left(z\right)/\Gamma% \left(z\right),}}
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    DLMF id
    DLMF:5.2.E2
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    constraint
    z ≠ 0 , - 1 , - 2 , … 𝑧 0 1 2 … {\displaystyle{\displaystyle z\neq 0,-1,-2,\dots}}
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    Symbols used
    gamma function
    Defining formula
    Γ ⁡ ( z ) Euler-Gamma 𝑧 {\displaystyle{\displaystyle\Gamma\left(\NVar{z}\right)}}
    xml-id
    C5.S2.E1.m2aadec
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    Q11273
    Defining formula
    z 𝑧 {\displaystyle{\displaystyle z}}
    xml-id
    C5.S1.XMD7.m1adec
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