DLMF:25.11.E19 (Q7693): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| Property / Symbols used | |||
| Property / Symbols used: Q11109 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11109 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BernoullinumberB{\NVar{n}}}\BernoullinumberB{\NVar{n}} | |||
| Property / Symbols used: Q11109 / qualifier | |||
xml-id: C24.S2.SS1.m1abdec | |||
Revision as of 13:39, 2 January 2020
No description defined
| 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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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{s}>-1}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s\neq 1}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a>0}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BernoullinumberB{\NVar{n}}}
C24.S2.SS1.m1abdec
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