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DLMF:25.16.E5 - MaRDI portal

DLMF:25.16.E5 (Q8453)

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DLMF:25.16.E5
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    Statements

    DLMF defining formula
    H ⁡ ( s ) = ∑ n = 1 ∞ h ⁢ ( n ) n s , Euler-sum-H 𝑠 superscript subscript 𝑛 1 ℎ 𝑛 superscript 𝑛 𝑠 {\displaystyle{\displaystyle H\left(s\right)=\sum_{n=1}^{\infty}\frac{h(n)}{n^% {s}},}}
    0 references
    Symbols used
    Q12172
    DLMF defining formula
    H ⁡ ( s ) Euler-sum-H 𝑠 {\displaystyle{\displaystyle H\left(\NVar{s}\right)}}
    xml-id
    C25.S16.SS2.p1.m1adec
    0 references
    nonnegative integer
    DLMF defining formula
    n 𝑛 {\displaystyle{\displaystyle n}}
    xml-id
    C25.S1.XMD3.m1dec
    0 references
    complex variable
    DLMF defining formula
    s 𝑠 {\displaystyle{\displaystyle s}}
    xml-id
    C25.S1.XMD7.m1dec
    0 references
    sum
    DLMF defining formula
    h ⁢ ( n ) ℎ 𝑛 {\displaystyle{\displaystyle h(n)}}
    xml-id
    C25.S11.XMD3.m1dec
    0 references
     
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