DLMF:25.16.E11 (Q7767): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12170 / rank
 
Normal rank
Property / Symbols used: Q12170 / qualifier
 
Defining formula:

H ⁡ ( s , z ) generalized-Euler-sum-H 𝑠 𝑧 {\displaystyle{\displaystyle H\left(\NVar{s},\NVar{z}\right)}}

\genEulersumH@{\NVar{s}}{\NVar{z}}
Property / Symbols used: Q12170 / qualifier
 
xml-id: C25.S16.SS2.p7.m3adec

Revision as of 01:07, 2 January 2020

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DLMF:25.16.E11
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    Statements

    Defining formula
    H ⁡ ( s , z ) = ∑ n = 1 ∞ 1 n s ⁢ ∑ m = 1 n 1 m z , generalized-Euler-sum-H 𝑠 𝑧 superscript subscript 𝑛 1 1 superscript 𝑛 𝑠 superscript subscript 𝑚 1 𝑛 1 superscript 𝑚 𝑧 {\displaystyle{\displaystyle H\left(s,z\right)=\sum_{n=1}^{\infty}\frac{1}{n^{% s}}\sum_{m=1}^{n}\frac{1}{m^{z}},}}
    0 references
    DLMF id
    DLMF:25.16.E11
    0 references
    constraint
    ℜ ⁡ ( s + z ) > 1 𝑠 𝑧 1 {\displaystyle{\displaystyle\Re(s+z)>1}}
    0 references
    Symbols used
    Q12170
    Defining formula
    H ⁡ ( s , z ) generalized-Euler-sum-H 𝑠 𝑧 {\displaystyle{\displaystyle H\left(\NVar{s},\NVar{z}\right)}}
    xml-id
    C25.S16.SS2.p7.m3adec
    0 references
     
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