DLMF:25.11.E1 (Q7675): Difference between revisions

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imported>Admin
 
Property / Symbols used
 
Property / Symbols used: Q12149 / rank
Normal rank
 
Property / Symbols used: Q12149 / qualifier
test:

s 𝑠 {\displaystyle{\displaystyle s}}

s
 
Property / Symbols used: Q12149 / qualifier
xml-id: C25.S1.XMD7.m1dec
 

Latest revision as of 12:36, 2 January 2020

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DLMF:25.11.E1
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    Statements

    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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    s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}
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    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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    absent {\displaystyle{\displaystyle\Re}}
    C1.S9.E2.m1adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C25.S1.XMD3.m1dec
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    a 𝑎 {\displaystyle{\displaystyle a}}
    C25.S1.XMD6.m1dec
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