DLMF:13.21.E14 (Q4622): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| (3 intermediate revisions by the same user not shown) | |||
| Property / Symbols used | |||
| Property / Symbols used: sine function / rank | |||
Normal rank | |||
| Property / Symbols used: sine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}\sin@@{\NVar{z}} | |||
| Property / Symbols used: sine function / qualifier | |||
xml-id: C4.S14.E1.m2aadec | |||
| 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.m1ldec | |||
| 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 c(\kappa,\mu)}c(\kappa,\mu) | |||
| Property / Symbols used: function (locally) / qualifier | |||
xml-id: C13.S21.XMD1.m1adec | |||
| 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 \Psi(\kappa,\mu,x)}\Psi(\kappa,\mu,x) | |||
| Property / Symbols used: function (locally) / qualifier | |||
xml-id: C13.S21.XMD3.m1bdec | |||
Latest revision as of 16:19, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:13.21.E14 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperW{\kappa}{\mu}@{x}=\frac{e^{-\mu\pi\iunit}}{\pi}\EulerGamma@{\kappa+\mu+\tfrac{1}{2}}\*\EulerGamma@{\kappa-\mu+\tfrac{1}{2}}\*c(\kappa,\mu)\Psi(\kappa,\mu,x)\*\left(\sin@{\kappa\pi-\mu\pi}\BesselJ{2\mu}@{\sqrt{\zeta\kappa}}-\cos@{\kappa\pi-\mu\pi}\BesselY{2\mu}@{\sqrt{\zeta\kappa}}+\envBesselY{2\mu}@{\sqrt{\zeta\kappa}}\bigO@{\kappa^{-1}}\right),}
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DLMF:13.21.E14
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselJ{\NVar{\nu}}@{\NVar{z}}}
C10.S2.E2.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselY{\NVar{\nu}}@{\NVar{z}}}
C10.S2.E3.m2aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
C2.S1.E3.m2agdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2afdec
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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.m2addec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2afdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
C4.S14.E2.m2aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \envBesselY{\NVar{\nu}}@{\NVar{x}}}
C2.S8.SS4.p5.m4acdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2aedec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2acdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
C4.S14.E1.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C13.S1.XMD4.m1ldec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c(\kappa,\mu)}
C13.S21.XMD1.m1adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Psi(\kappa,\mu,x)}
C13.S21.XMD3.m1bdec
0 references