DLMF:8.22.E2 (Q2751): 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
 
Normal rank

Revision as of 16:13, 30 December 2019

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DLMF:8.22.E2
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    ζ x ( s ) = 1 Γ ( s ) 0 x t s - 1 e t - 1 d t , subscript 𝜁 𝑥 𝑠 1 Euler-Gamma 𝑠 superscript subscript 0 𝑥 superscript 𝑡 𝑠 1 superscript 𝑒 𝑡 1 𝑡 {\displaystyle{\displaystyle\zeta_{x}(s)=\frac{1}{\Gamma\left(s\right)}\int_{0% }^{x}\frac{t^{s-1}}{e^{t}-1}\mathrm{d}t,}}
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    s > 1 𝑠 1 {\displaystyle{\displaystyle\Re s>1}}
    0 references