DLMF:13.20.E12 (Q4601): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| (5 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 \WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}\WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}} | |||
| Property / Symbols used: Whittaker confluent hypergeometric function / qualifier | |||
xml-id: C13.S14.E2.m2abdec | |||
| Property / Symbols used | |||
| Property / Symbols used: base of natural logarithm / rank | |||
Normal rank | |||
| Property / Symbols used: base of natural logarithm / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}\expe | |||
| Property / Symbols used: base of natural logarithm / qualifier | |||
xml-id: C4.S2.E11.m2acdec | |||
| 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.m2acdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11320 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11320 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraU@{\NVar{a}}{\NVar{z}}}\paraU@{\NVar{a}}{\NVar{z}} | |||
| Property / Symbols used: Q11320 / qualifier | |||
xml-id: C12.S2.SS1.p1.m1aadec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11566 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11566 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}x | |||
| Property / Symbols used: Q11566 / qualifier | |||
xml-id: C13.S1.XMD4.m1idec | |||
| Property / Symbols used | |||
| Property / Symbols used: function (locally) / rank | |||
Normal rank | |||
| Property / Symbols used: function (locally) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Phi(\kappa,\mu,x)}\Phi(\kappa,\mu,x) | |||
| Property / Symbols used: function (locally) / qualifier | |||
xml-id: C13.S20.XMD4.m1bdec | |||
Latest revision as of 15:15, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:13.20.E12 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperM{\kappa}{\mu}@{x}=\left(8\mu\right)^{\frac{1}{4}}\*\left(\frac{2\mu}{e}\right)^{2\mu}\*\left(\frac{e}{\kappa+\mu}\right)^{\frac{1}{2}(\kappa+\mu)}\*\Phi(\kappa,\mu,x)\*\paraU@{\mu-\kappa}{-\zeta\sqrt{2\mu}}\left(1+\bigO@{\mu^{-1}\ln@@{\mu}}\right),}
0 references
DLMF:13.20.E12
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 \WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}
C13.S14.E2.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}
C4.S2.E2.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \paraU@{\NVar{a}}{\NVar{z}}}
C12.S2.SS1.p1.m1aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C13.S1.XMD4.m1idec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Phi(\kappa,\mu,x)}
C13.S20.XMD4.m1bdec
0 references