DLMF:25.8.E3 (Q7660): Difference between revisions

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

s 1 𝑠 1 {\displaystyle{\displaystyle s\neq 1}}

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

Revision as of 18:15, 30 December 2019

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DLMF:25.8.E3
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    k = 0 ( s ) k ζ ( s + k ) k ! 2 s + k = ( 1 - 2 - s ) ζ ( s ) , superscript subscript 𝑘 0 Pochhammer 𝑠 𝑘 Riemann-zeta 𝑠 𝑘 𝑘 superscript 2 𝑠 𝑘 1 superscript 2 𝑠 Riemann-zeta 𝑠 {\displaystyle{\displaystyle\sum_{k=0}^{\infty}\frac{{\left(s\right)_{k}}\zeta% \left(s+k\right)}{k!2^{s+k}}=(1-2^{-s})\zeta\left(s\right),}}
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    DLMF:25.8.E3
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    s 1 𝑠 1 {\displaystyle{\displaystyle s\neq 1}}
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