DLMF:25.5.E2 (Q7615): Difference between revisions

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Property / constraint
 

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

\realpart@@{s}>1
Property / constraint: s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}} / rank
 
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Revision as of 17:14, 30 December 2019

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DLMF:25.5.E2
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    ζ ( s ) = 1 Γ ( s + 1 ) 0 e x x s ( e x - 1 ) 2 d x , Riemann-zeta 𝑠 1 Euler-Gamma 𝑠 1 superscript subscript 0 superscript 𝑒 𝑥 superscript 𝑥 𝑠 superscript superscript 𝑒 𝑥 1 2 𝑥 {\displaystyle{\displaystyle\zeta\left(s\right)=\frac{1}{\Gamma\left(s+1\right% )}\int_{0}^{\infty}\frac{e^{x}x^{s}}{(e^{x}-1)^{2}}\mathrm{d}x,}}
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    s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}
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