DLMF:25.11.E19 (Q7693)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:25.11.E19 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Hurwitzzeta'@{s}{a}=-\frac{\ln@@{a}}{a^{s}}\left(\frac{1}{2}+\frac{a}{s-1}\right)-\frac{a^{1-s}}{(s-1)^{2}}+\frac{s(s+1)}{2}\int_{0}^{\infty}\frac{(\perBernoulliB{2}@{x}-\BernoullinumberB{2})\ln@{x+a}}{(x+a)^{s+2}}\diff{x}-\frac{(2s+1)}{2}\int_{0}^{\infty}\frac{\perBernoulliB{2}@{x}-\BernoullinumberB{2}}{(x+a)^{s+2}}\diff{x},}
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DLMF:25.11.E19
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