DLMF:5.15.E2 (Q2171)

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DLMF:5.15.E2
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    Statements

    Defining formula
    ψ ( n ) ⁡ ( 1 ) = ( - 1 ) n + 1 ⁢ n ! ⁢ ζ ⁡ ( n + 1 ) , polygamma 𝑛 1 superscript 1 𝑛 1 𝑛 Riemann-zeta 𝑛 1 {\displaystyle{\displaystyle\psi^{(n)}\left(1\right)=(-1)^{n+1}n!\zeta\left(n+% 1\right),}}
    0 references
    DLMF id
    DLMF:5.15.E2
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    Symbols used
    Riemann zeta function
    Defining formula
    ζ ⁡ ( s ) Riemann-zeta 𝑠 {\displaystyle{\displaystyle\zeta\left(\NVar{s}\right)}}
    xml-id
    C25.S2.E1.m2adec
    0 references
    Q10755
    Defining formula
    ! {\displaystyle{\displaystyle!}}
    xml-id
    introduction.Sx4.p1.t1.r15.m5adec
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