DLMF:14.15.E14 (Q4860): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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| (4 intermediate revisions by the same user not shown) | |||
| Property / Symbols used | |||
| Property / Symbols used: hyperbolic sine function / rank | |||
Normal rank | |||
| Property / Symbols used: hyperbolic sine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{\NVar{z}}}\sinh@@{\NVar{z}} | |||
| Property / Symbols used: hyperbolic sine function / qualifier | |||
xml-id: C4.S28.E1.m2aadec | |||
| Property / Symbols used | |||
| Property / Symbols used: modified Bessel function of the second kind / rank | |||
Normal rank | |||
| Property / Symbols used: modified Bessel function of the second kind / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modBesselK{\NVar{\nu}}@{\NVar{z}}}\modBesselK{\NVar{\nu}}@{\NVar{z}} | |||
| Property / Symbols used: modified Bessel function of the second kind / qualifier | |||
xml-id: C10.S25.E3.m2abdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11591 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11591 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mu}\mu | |||
| Property / Symbols used: Q11591 / qualifier | |||
xml-id: C14.S1.XMD7.m1jdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11590 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11590 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}\nu | |||
| Property / Symbols used: Q11590 / qualifier | |||
xml-id: C14.S1.XMD8.m1jdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11616 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11616 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \xi}\xi | |||
| Property / Symbols used: Q11616 / qualifier | |||
xml-id: C14.S15.XMD8.m1adec | |||
Latest revision as of 00:50, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:14.15.E14 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \assLegendreOlverQ[\mu]{\nu}@{\cosh@@{\xi}}=\frac{\nu^{\mu}}{\EulerGamma@{\nu+\mu+1}}\left(\frac{\xi}{\sinh@@{\xi}}\right)^{1/2}\*\modBesselK{\mu}@{\left(\nu+\tfrac{1}{2}\right)\xi}\*\left(1+\bigO@{\frac{1}{\nu}}\right),}
0 references
DLMF:14.15.E14
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
C2.S1.E3.m2aidec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2addec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \assLegendreOlverQ[\NVar{\mu}]{\NVar{\nu}}@{\NVar{z}}}
C14.S21.SS1.p1.m3abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{\NVar{z}}}
C4.S28.E2.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sinh@@{\NVar{z}}}
C4.S28.E1.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modBesselK{\NVar{\nu}}@{\NVar{z}}}
C10.S25.E3.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mu}
C14.S1.XMD7.m1jdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C14.S1.XMD8.m1jdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \xi}
C14.S15.XMD8.m1adec
0 references