DLMF:25.5.E17 (Q7630): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Euler’s constant / rank
 
Normal rank
Property / Symbols used: Euler’s constant / qualifier
 
test:

γ {\displaystyle{\displaystyle\gamma}}

\EulerConstant
Property / Symbols used: Euler’s constant / qualifier
 
xml-id: C5.S2.E3.m2adec

Revision as of 12:28, 2 January 2020

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DLMF:25.5.E17
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    ζ ( 1 + s ) = sin ( π s ) π 0 ( γ + ψ ( 1 + x ) ) x - s - 1 d x , Riemann-zeta 1 𝑠 𝜋 𝑠 𝜋 superscript subscript 0 digamma 1 𝑥 superscript 𝑥 𝑠 1 𝑥 {\displaystyle{\displaystyle\zeta\left(1+s\right)=\frac{\sin\left(\pi s\right)% }{\pi}\int_{0}^{\infty}\left(\gamma+\psi\left(1+x\right)\right)x^{-s-1}\mathrm% {d}x,}}
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    γ {\displaystyle{\displaystyle\gamma}}
    C5.S2.E3.m2adec
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