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

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Property / constraint
 

s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}

\Re s>1
Property / constraint: s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}} / rank
 
Normal rank
Property / constraint
 

a 0 , - 1 , - 2 , 𝑎 0 1 2 {\displaystyle{\displaystyle a\neq 0,-1,-2,\dots}}

a\neq 0,-1,-2,\dots
Property / constraint: a 0 , - 1 , - 2 , 𝑎 0 1 2 {\displaystyle{\displaystyle a\neq 0,-1,-2,\dots}} / rank
 
Normal rank
Property / Symbols used
 
Property / Symbols used: Q10811 / rank
 
Normal rank
Property / Symbols used: Q10811 / qualifier
 
test:

absent {\displaystyle{\displaystyle\Re}}

\realpart@@
Property / Symbols used: Q10811 / qualifier
 
xml-id: C1.S9.E2.m1adec
Property / Symbols used
 
Property / Symbols used: Q12148 / rank
 
Normal rank
Property / Symbols used: Q12148 / qualifier
 
test:

n 𝑛 {\displaystyle{\displaystyle n}}

n
Property / Symbols used: Q12148 / qualifier
 
xml-id: C25.S1.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q12161 / rank
 
Normal rank
Property / Symbols used: Q12161 / qualifier
 
test:

a 𝑎 {\displaystyle{\displaystyle a}}

a
Property / Symbols used: Q12161 / qualifier
 
xml-id: C25.S1.XMD6.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}},}}
    0 references
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    s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}
    0 references
    s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}
    0 references
    a 0 , - 1 , - 2 , 𝑎 0 1 2 {\displaystyle{\displaystyle a\neq 0,-1,-2,\dots}}
    0 references
    absent {\displaystyle{\displaystyle\Re}}
    C1.S9.E2.m1adec
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    n 𝑛 {\displaystyle{\displaystyle n}}
    C25.S1.XMD3.m1dec
    0 references
    a 𝑎 {\displaystyle{\displaystyle a}}
    C25.S1.XMD6.m1dec
    0 references