DLMF:10.22.E75 (Q3450): Difference between revisions
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imported>Admin Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
imported>Admin Admin moved page Main Page to Verifying DLMF with Maple and Mathematica |
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| Property / Symbols used | |||
| Property / Symbols used: Bessel function of the second kind / rank | |||
Normal rank | |||
| Property / Symbols used: Bessel function of the second kind / qualifier | |||
test: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselY{\NVar{\nu}}@{\NVar{z}}}\BesselY{\NVar{\nu}}@{\NVar{z}} | |||
| Property / Symbols used: Bessel function of the second kind / qualifier | |||
xml-id: C10.S2.E3.m2aldec | |||
Revision as of 12:28, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:10.22.E75 |
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Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}\BesselY{\nu}@{at}\BesselJ{\nu}@{bt}\BesselJ{\nu}@{ct}t^{1+\nu}\diff{t}=\begin{cases}-\dfrac{(abc)^{\nu}(-A)^{-\nu-\frac{1}{2}}}{\pi^{\frac{1}{2}}2^{\nu+1}\EulerGamma@{\frac{1}{2}-\nu}},&0<a<|b-c|,\\ 0,&|b-c|<a<b+c,\\ \dfrac{(abc)^{\nu}(-A)^{-\nu-\frac{1}{2}}}{\pi^{\frac{1}{2}}2^{\nu+1}\EulerGamma@{\frac{1}{2}-\nu}},&a>b+c.\end{cases}}
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