DLMF:25.11.E29 (Q7703)

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Language	Label	Description	Also known as
English	DLMF:25.11.E29	No description defined

Statements

{\displaystyle{\displaystyle\zeta\left(s,a\right)=\frac{1}{2}a^{-s}+\frac{a^{1% -s}}{s-1}+2\int_{0}^{\infty}\frac{\sin\left(s\operatorname{arctan}\left(x/a% \right)\right)}{(a^{2}+x^{2})^{s/2}(e^{2\pi x}-1)}\mathrm{d}x,}}

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DLMF:25.11.E29

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{\displaystyle{\displaystyle\Re a>0}}

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

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