DLMF:13.23.E11 (Q4645): 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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(10 intermediate revisions by the same user not shown) | |||
Property / constraint | |||
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \max(2\realpart@@{\mu}-1,-1)<\realpart@@{\nu}<2\realpart@@{(\mu-\kappa)}+\tfrac{3}{2}}\max(2\realpart@@{\mu}-1,-1)<\realpart@@{\nu}<2\realpart@@{(\mu-\kappa)}+\tfrac{3}{2} | |||
Property / constraint: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \max(2\realpart@@{\mu}-1,-1)<\realpart@@{\nu}<2\realpart@@{(\mu-\kappa)}+\tfrac{3}{2}} / rank | |||
Normal rank | |||
Property / constraint | |||
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x>0}x>0 | |||
Property / constraint: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x>0} / rank | |||
Normal rank | |||
Property / constraint | |||
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \max(2\Re\mu-1,-1)<\Re\nu<2\Re(\mu-\kappa)+\tfrac{3}{2}}\max(2\Re\mu-1,-1)<\Re\nu<2\Re(\mu-\kappa)+\tfrac{3}{2} | |||
Property / constraint: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \max(2\Re\mu-1,-1)<\Re\nu<2\Re(\mu-\kappa)+\tfrac{3}{2}} / rank | |||
Normal rank | |||
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.m2ajdec | |||
Property / Symbols used | |||
Property / Symbols used: Whittaker confluent hypergeometric function / rank | |||
Normal rank | |||
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}\WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}} | |||
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier | |||
xml-id: C13.S14.E3.m2aedec | |||
Property / Symbols used | |||
Property / Symbols used: Q10770 / rank | |||
Normal rank | |||
Property / Symbols used: Q10770 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}\diff{\NVar{x}} | |||
Property / Symbols used: Q10770 / qualifier | |||
xml-id: C1.S4.SS4.m1ajdec | |||
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.m2ajdec | |||
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.m3ajdec | |||
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.m1ajdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11566 / rank | |||
Normal rank | |||
Property / Symbols used: Q11566 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}x | |||
Property / Symbols used: Q11566 / qualifier | |||
xml-id: C13.S1.XMD4.m1cdec |
Latest revision as of 01:04, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:13.23.E11 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int_{0}^{\infty}e^{\frac{1}{2}t}t^{\frac{1}{2}(\nu-1)-\mu}\WhittakerconfhyperW{\kappa}{\mu}@{t}\BesselJ{\nu}@{2\sqrt{xt}}\diff{t}=\frac{\EulerGamma@{\nu-2\mu+1}}{\EulerGamma@{\frac{1}{2}+\mu-\kappa}}\*e^{\frac{1}{2}x}x^{\frac{1}{2}(\mu-\kappa-\frac{3}{2})}\*\WhittakerconfhyperW{\frac{1}{2}(\kappa+3\mu-\nu-\frac{1}{2})}{\frac{1}{2}(\kappa-\mu+\nu+\frac{1}{2})}@{x},}
0 references
DLMF:13.23.E11
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \max(2\realpart@@{\mu}-1,-1)<\realpart@@{\nu}<2\realpart@@{(\mu-\kappa)}+\tfrac{3}{2}}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x>0}
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \max(2\Re\mu-1,-1)<\Re\nu<2\Re(\mu-\kappa)+\tfrac{3}{2}}
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.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.m2ajdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}
C13.S14.E3.m2aedec
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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.m1ajdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2ajdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
C1.S4.SS4.m3ajdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@}
C1.S9.E2.m1ajdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C13.S1.XMD4.m1cdec
0 references