DLMF:13.14.E19 (Q4508): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| (6 intermediate revisions by the same user not shown) | |||
| Property / Symbols used | |||
| Property / Symbols used: Whittaker confluent hypergeometric function / rank | |||
Normal rank | |||
| Property / Symbols used: Whittaker confluent hypergeometric function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}\WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}} | |||
| Property / Symbols used: Whittaker confluent hypergeometric function / qualifier | |||
xml-id: C13.S14.E3.m2ajdec | |||
| Property / Symbols used | |||
| Property / Symbols used: psi (or digamma) function / rank | |||
Normal rank | |||
| Property / Symbols used: psi (or digamma) function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \digamma@{\NVar{z}}}\digamma@{\NVar{z}} | |||
| Property / Symbols used: psi (or digamma) function / qualifier | |||
xml-id: C5.S2.E2.m2aadec | |||
| Property / Symbols used | |||
| Property / Symbols used: principal branch of logarithm function / rank | |||
Normal rank | |||
| Property / Symbols used: principal branch of logarithm function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}\ln@@{\NVar{z}} | |||
| Property / Symbols used: principal branch of logarithm function / qualifier | |||
xml-id: C4.S2.E2.m2abdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11557 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11557 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
| Property / Symbols used: Q11557 / qualifier | |||
xml-id: C13.S1.XMD6.m1rdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Euler’s constant / rank | |||
Normal rank | |||
| Property / Symbols used: Euler’s constant / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerConstant}\EulerConstant | |||
| Property / Symbols used: Euler’s constant / qualifier | |||
xml-id: C5.S2.E3.m2adec | |||
Latest revision as of 15:06, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:13.14.E19 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperW{\kappa}{0}@{z}=-\frac{\sqrt{z}}{\EulerGamma@{\frac{1}{2}-\kappa}}\left(\ln@@{z}+\digamma@{\tfrac{1}{2}-\kappa}+2\gamma\right)+\bigO@{z^{\ifrac{3}{2}}\ln@@{z}}.}
0 references
DLMF:13.14.E19
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
C2.S1.E3.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2agdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}
C13.S14.E3.m2ajdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \digamma@{\NVar{z}}}
C5.S2.E2.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}
C4.S2.E2.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C13.S1.XMD6.m1rdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerConstant}
C5.S2.E3.m2adec
0 references