DLMF:25.11.E12 (Q7686)

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DLMF:25.11.E12
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    Statements

    Defining formula
    ζ ⁡ ( n + 1 , a ) = ( - 1 ) n + 1 ⁢ ψ ( n ) ⁡ ( a ) n ! , Hurwitz-zeta 𝑛 1 𝑎 superscript 1 𝑛 1 digamma 𝑛 𝑎 𝑛 {\displaystyle{\displaystyle\zeta\left(n+1,a\right)=\frac{(-1)^{n+1}{\psi^{(n)% }}\left(a\right)}{n!},}}
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    DLMF id
    DLMF:25.11.E12
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    constraint
    n = 1 , 2 , 3 , … 𝑛 1 2 3 … {\displaystyle{\displaystyle n=1,2,3,\dots}}
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    Symbols used
    Hurwitz zeta function
    Defining formula
    ζ ⁡ ( s , a ) Hurwitz-zeta 𝑠 𝑎 {\displaystyle{\displaystyle\zeta\left(\NVar{s},\NVar{a}\right)}}
    xml-id
    C25.S11.E1.m2amdec
    0 references
     
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