DLMF:25.11.E10 (Q7684)

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DLMF:25.11.E10
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    Statements

    Defining formula
    ζ ⁡ ( s , a ) = ∑ n = 0 ∞ ( s ) n n ! ⁢ ζ ⁡ ( n + s ) ⁢ ( 1 - a ) n , Hurwitz-zeta 𝑠 𝑎 superscript subscript 𝑛 0 Pochhammer 𝑠 𝑛 𝑛 Riemann-zeta 𝑛 𝑠 superscript 1 𝑎 𝑛 {\displaystyle{\displaystyle\zeta\left(s,a\right)=\sum_{n=0}^{\infty}\frac{{% \left(s\right)_{n}}}{n!}\zeta\left(n+s\right)(1-a)^{n},}}
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    DLMF id
    DLMF:25.11.E10
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    constraint
    | a - 1 | < 1 𝑎 1 1 {\displaystyle{\displaystyle|a-1|<1}}
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