DLMF:5.15.E5 (Q2174)

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DLMF:5.15.E5
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    Statements

    test
    ψ ( n ) ⁡ ( z + 1 ) = ψ ( n ) ⁡ ( z ) + ( - 1 ) n ⁢ n ! ⁢ z - n - 1 , digamma 𝑛 𝑧 1 digamma 𝑛 𝑧 superscript 1 𝑛 𝑛 superscript 𝑧 𝑛 1 {\displaystyle{\displaystyle{\psi^{(n)}}\left(z+1\right)={\psi^{(n)}}\left(z% \right)+(-1)^{n}n!z^{-n-1},}}
    0 references
    DLMF id
    DLMF:5.15.E5
    0 references
    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
    Q10755
    test
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5abdec
    0 references
     
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