DLMF:25.11.E1 (Q7675)

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DLMF:25.11.E1
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    Statements

    Defining formula
    ζ ⁡ ( s , a ) = ∑ n = 0 ∞ 1 ( n + a ) s , Hurwitz-zeta 𝑠 𝑎 superscript subscript 𝑛 0 1 superscript 𝑛 𝑎 𝑠 {\displaystyle{\displaystyle\zeta\left(s,a\right)=\sum_{n=0}^{\infty}\frac{1}{% (n+a)^{s}},}}
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    DLMF id
    DLMF:25.11.E1
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    constraint
    ℜ ⁡ s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}
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    ℜ ⁡ s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}
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    a ≠ 0 , - 1 , - 2 , … 𝑎 0 1 2 … {\displaystyle{\displaystyle a\neq 0,-1,-2,\dots}}
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    Symbols used
    Q10811
    Defining formula
    ℜ ⁡ absent {\displaystyle{\displaystyle\Re}}
    xml-id
    C1.S9.E2.m1adec
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    Q12148
    Defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C25.S1.XMD3.m1dec
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    Q12161
    Defining formula
    a 𝑎 {\displaystyle{\displaystyle a}}
    xml-id
    C25.S1.XMD6.m1dec
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