DLMF:10.43.E26 (Q3640): 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: Q10901 / rank | |||
Normal rank | |||
| Property / Symbols used: Q10901 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \imagpart@@}\imagpart@@ | |||
| Property / Symbols used: Q10901 / qualifier | |||
xml-id: C1.S9.E2.m2abdec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q10771 / rank | |||
Normal rank | |||
| Property / Symbols used: Q10771 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}\int | |||
| Property / Symbols used: Q10771 / qualifier | |||
xml-id: C1.S4.SS4.m3audec | |||
| 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.m2aldec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q10811 / rank | |||
Normal rank | |||
| Property / Symbols used: Q10811 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@}\realpart@@ | |||
| Property / Symbols used: Q10811 / qualifier | |||
xml-id: C1.S9.E2.m1aidec | |||
| Property / Symbols used | |||
| Property / Symbols used: $$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function / rank | |||
Normal rank | |||
| Property / Symbols used: $$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperOlverF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}\hyperOlverF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}} | |||
| Property / Symbols used: $$={{}_{2}{\mathbf{F}}_{1}}\left(\NVar{a},\NVar{b};\NVar{c};\NVar{z}\right)$$ Olver’s hypergeometric function / qualifier | |||
xml-id: C15.S2.E2.m2adec | |||
| Property / Symbols used | |||
| Property / Symbols used: Q11427 / rank | |||
Normal rank | |||
| Property / Symbols used: Q11427 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}\nu | |||
| Property / Symbols used: Q11427 / qualifier | |||
xml-id: C10.S1.XMD7.m1mdec | |||
Latest revision as of 14:03, 2 January 2020
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | DLMF:10.43.E26 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}\frac{\modBesselK{\mu}@{at}\BesselJ{\nu}@{bt}}{t^{\lambda}}\diff{t}=\frac{b^{\nu}\EulerGamma@{\frac{1}{2}\nu-\frac{1}{2}\lambda+\frac{1}{2}\mu+\frac{1}{2}}\EulerGamma@{\frac{1}{2}\nu-\frac{1}{2}\lambda-\frac{1}{2}\mu+\frac{1}{2}}}{2^{\lambda+1}a^{\nu-\lambda+1}}\*\hyperOlverF@{\frac{\nu-\lambda+\mu+1}{2}}{\frac{\nu-\lambda-\mu+1}{2}}{\nu+1}{-\frac{b^{2}}{a^{2}}},}
0 references
DLMF:10.43.E26
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@{(\nu+1-\lambda)}>|\realpart@@{\mu}|,\realpart@@{a}>|\imagpart@@{b}|}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselJ{\NVar{\nu}}@{\NVar{z}}}
C10.S2.E2.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2agdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
C1.S4.SS4.m1audec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \imagpart@@}
C1.S9.E2.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
C1.S4.SS4.m3audec
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.m2aldec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@}
C1.S9.E2.m1aidec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \hyperOlverF@{\NVar{a}}{\NVar{b}}{\NVar{c}}{\NVar{z}}}
C15.S2.E2.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C10.S1.XMD7.m1mdec
0 references