DLMF:25.11.E7 (Q7681): 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: Hurwitz zeta function / rank | |||
Normal rank | |||
| Property / Symbols used: Hurwitz zeta function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Hurwitzzeta@{\NVar{s}}{\NVar{a}}}\Hurwitzzeta@{\NVar{s}}{\NVar{a}} | |||
| Property / Symbols used: Hurwitz zeta function / qualifier | |||
xml-id: C25.S11.E1.m2ahdec | |||
Revision as of 12:37, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:25.11.E7 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Hurwitzzeta@{s}{a}=\frac{1}{a^{s}}+\frac{1}{(1+a)^{s}}\left(\frac{1}{2}+\frac{1+a}{s-1}\right)+\sum_{k=1}^{n}\binom{s+2k-2}{2k-1}\frac{\BernoullinumberB{2k}}{2k}\frac{1}{(1+a)^{s+2k-1}}-\binom{s+2n}{2n+1}\int_{1}^{\infty}\frac{\perBernoulliB{2n+1}@{x}}{(x+a)^{s+2n+1}}\diff{x},}
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DLMF:25.11.E7
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{s}>-2n}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n=1,2,3,\dots}
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Re s>-2n}
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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.m1aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Hurwitzzeta@{\NVar{s}}{\NVar{a}}}
C25.S11.E1.m2ahdec
0 references