DLMF:14.15.E9 (Q4855): 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: 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.m2aadec | |||
| Property / Symbols used | |||
| Property / Symbols used: modified Bessel function of the first kind / rank | |||
Normal rank | |||
| Property / Symbols used: modified Bessel function of the first kind / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modBesselI{\NVar{\nu}}@{\NVar{z}}}\modBesselI{\NVar{\nu}}@{\NVar{z}} | |||
| Property / Symbols used: modified Bessel function of the first kind / qualifier | |||
xml-id: C10.S25.E2.m2aadec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11589 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11589 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}x | |||
| Property / Symbols used: Q11589 / qualifier | |||
xml-id: C14.S1.XMD1.m1fdec | |||
| 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.m1fdec | |||
| 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.m1fdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11611 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11611 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha}\alpha | |||
| Property / Symbols used: Q11611 / qualifier | |||
xml-id: C14.S15.XMD3.m1edec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11614 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11614 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \eta}\eta | |||
| Property / Symbols used: Q11614 / qualifier | |||
xml-id: C14.S15.XMD6.m1adec | |||
Latest revision as of 00:49, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:14.15.E9 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \assLegendreOlverQ[\mu]{\nu}@{x}=\left(\frac{\pi}{2}\right)^{1/2}\left(\frac{e}{\mu}\right)^{\nu+(1/2)}\left(\frac{1-\alpha}{1+\alpha}\right)^{\mu/2}\*\left(1-\alpha^{2}\right)^{-(\nu/2)-(1/4)}\left(\frac{\alpha^{2}+\eta^{2}}{\alpha^{2}\left(x^{2}-1\right)+1}\right)^{1/4}\*\modBesselI{\nu+\frac{1}{2}}@{\mu\eta}\left(1+\bigO@{\frac{1}{\mu}}\right),}
0 references
DLMF:14.15.E9
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 \assLegendreOlverQ[\NVar{\mu}]{\NVar{\nu}}@{\NVar{z}}}
C14.S21.SS1.p1.m3aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2acdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modBesselI{\NVar{\nu}}@{\NVar{z}}}
C10.S25.E2.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C14.S1.XMD1.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mu}
C14.S1.XMD7.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C14.S1.XMD8.m1fdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \alpha}
C14.S15.XMD3.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \eta}
C14.S15.XMD6.m1adec
0 references