DLMF:25.11.E4 (Q7678): Difference between revisions

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‎Changed an Item: Add constraint
‎Changed an Item: Add constraint
Property / Symbols used
 
Property / Symbols used: Q12151 / rank
 
Normal rank
Property / Symbols used: Q12151 / qualifier
 
Defining formula:

m 𝑚 {\displaystyle{\displaystyle m}}

m
Property / Symbols used: Q12151 / qualifier
 
xml-id: C25.S1.XMD2.m1dec

Revision as of 13:36, 2 January 2020

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DLMF:25.11.E4
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    Statements

    Defining formula
    ζ ⁡ ( s , a ) = ζ ⁡ ( s , a + m ) + ∑ n = 0 m - 1 1 ( n + a ) s , Hurwitz-zeta 𝑠 𝑎 Hurwitz-zeta 𝑠 𝑎 𝑚 superscript subscript 𝑛 0 𝑚 1 1 superscript 𝑛 𝑎 𝑠 {\displaystyle{\displaystyle\zeta\left(s,a\right)=\zeta\left(s,a+m\right)+\sum% _{n=0}^{m-1}\frac{1}{(n+a)^{s}},}}
    0 references
    DLMF id
    DLMF:25.11.E4
    0 references
    constraint
    m = 1 , 2 , 3 , … 𝑚 1 2 3 … {\displaystyle{\displaystyle m=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.m2acdec
    0 references
    Q12151
    Defining formula
    m 𝑚 {\displaystyle{\displaystyle m}}
    xml-id
    C25.S1.XMD2.m1dec
    0 references
     
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