DLMF:25.11.E17 (Q7691): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
Property / constraint
 

s 0 , 1 𝑠 0 1 {\displaystyle{\displaystyle s\neq 0,1}}

s\neq 0,1
Property / constraint: s 0 , 1 𝑠 0 1 {\displaystyle{\displaystyle s\neq 0,1}} / rank
 
Normal rank

Revision as of 18:16, 30 December 2019

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DLMF:25.11.E17
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    Statements

    a ζ ( s , a ) = - s ζ ( s + 1 , a ) , partial-derivative 𝑎 Hurwitz-zeta 𝑠 𝑎 𝑠 Hurwitz-zeta 𝑠 1 𝑎 {\displaystyle{\displaystyle\frac{\partial}{\partial a}\zeta\left(s,a\right)=-% s\zeta\left(s+1,a\right),}}
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    DLMF:25.11.E17
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    a > 0 𝑎 0 {\displaystyle{\displaystyle\Re a>0}}
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    s 0 , 1 𝑠 0 1 {\displaystyle{\displaystyle s\neq 0,1}}
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