DLMF:13.8.E13 (Q4438): Difference between revisions
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Created a new Item: Wikidata Toolkit example test item creation |
Changed an Item: Add constraint |
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(6 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Bessel function of the first kind / rank | |||
Normal rank | |||
Property / Symbols used: 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 \BesselJ{\NVar{\nu}}@{\NVar{z}}}\BesselJ{\NVar{\nu}}@{\NVar{z}} | |||
Property / Symbols used: Bessel function of the first kind / qualifier | |||
xml-id: C10.S2.E2.m2abdec | |||
Property / Symbols used | |||
Property / Symbols used: gamma function / rank | |||
Normal rank | |||
Property / Symbols used: gamma function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}\EulerGamma@{\NVar{z}} | |||
Property / Symbols used: gamma function / qualifier | |||
xml-id: C5.S2.E1.m2ahdec | |||
Property / Symbols used | |||
Property / Symbols used: Olver’s confluent hypergeometric function / rank | |||
Normal rank | |||
Property / Symbols used: Olver’s confluent hypergeometric function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}}}\OlverconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}} | |||
Property / Symbols used: Olver’s confluent hypergeometric function / qualifier | |||
xml-id: C13.S2.E3.m2aadec | |||
Property / Symbols used | |||
Property / Symbols used: Q10931 / rank | |||
Normal rank | |||
Property / Symbols used: Q10931 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympexp}\asympexp | |||
Property / Symbols used: Q10931 / qualifier | |||
xml-id: C2.S1.SS3.p1.m11acdec | |||
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.m2ahdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11558 / rank | |||
Normal rank | |||
Property / Symbols used: Q11558 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s}s | |||
Property / Symbols used: Q11558 / qualifier | |||
xml-id: C13.S1.XMD3.m1edec | |||
Property / Symbols used | |||
Property / Symbols used: Q11557 / rank | |||
Normal rank | |||
Property / Symbols used: Q11557 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q11557 / qualifier | |||
xml-id: C13.S1.XMD6.m1gdec |
Latest revision as of 15:59, 2 January 2020
No description defined
Language | Label | Description | Also known as |
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English | DLMF:13.8.E13 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{-a}{b}{z}\asympexp\left(z/a\right)^{(1-b)/2}\frac{e^{z/2}\EulerGamma@{1+a}}{\EulerGamma@{a+b}}\*\left(\BesselJ{b-1}@{2\sqrt{az}}\sum_{s=0}^{\infty}\frac{p_{s}(z)}{(-a)^{s}}-\sqrt{z/a}\BesselJ{b}@{2\sqrt{az}}\sum_{s=0}^{\infty}\frac{q_{s}(z)}{(-a)^{s}}\right),}
0 references
DLMF:13.8.E13
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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.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
C5.S2.E1.m2ahdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \OlverconfhyperM@{\NVar{a}}{\NVar{b}}{\NVar{z}}}
C13.S2.E3.m2aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympexp}
C2.S1.SS3.p1.m11acdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2ahdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle s}
C13.S1.XMD3.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C13.S1.XMD6.m1gdec
0 references