DLMF:25.11.E26 (Q7700): Difference between revisions

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Created a new Item: Wikidata Toolkit example test item creation
 
Changed an Item: Add constraint
Property / constraint
 

- 1 < s < 0 1 𝑠 0 {\displaystyle{\displaystyle-1<\Re s<0}}

-1<\realpart@@{s}<0
Property / constraint: - 1 < s < 0 1 𝑠 0 {\displaystyle{\displaystyle-1<\Re s<0}} / rank
 
Normal rank

Revision as of 18:16, 30 December 2019

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DLMF:25.11.E26
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    ζ ( s , a ) = - s - a x - x - 1 2 ( x + a ) s + 1 d x , Hurwitz-zeta 𝑠 𝑎 𝑠 superscript subscript 𝑎 𝑥 𝑥 1 2 superscript 𝑥 𝑎 𝑠 1 𝑥 {\displaystyle{\displaystyle\zeta\left(s,a\right)=-s\int_{-a}^{\infty}\frac{x-% \left\lfloor x\right\rfloor-\frac{1}{2}}{(x+a)^{s+1}}\mathrm{d}x,}}
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    DLMF:25.11.E26
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    - 1 < s < 0 1 𝑠 0 {\displaystyle{\displaystyle-1<\Re s<0}}
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