DLMF:13.21.E14 (Q4622): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: Q11566 / rank
 
Normal rank
Property / Symbols used: Q11566 / qualifier
 
test:

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.m1ldec
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c(\kappa,\mu)}

c(\kappa,\mu)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C13.S21.XMD1.m1adec
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Psi(\kappa,\mu,x)}

\Psi(\kappa,\mu,x)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C13.S21.XMD3.m1bdec

Latest revision as of 15:19, 2 January 2020

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DLMF:13.21.E14
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperW{\kappa}{\mu}@{x}=\frac{e^{-\mu\pi\iunit}}{\pi}\EulerGamma@{\kappa+\mu+\tfrac{1}{2}}\*\EulerGamma@{\kappa-\mu+\tfrac{1}{2}}\*c(\kappa,\mu)\Psi(\kappa,\mu,x)\*\left(\sin@{\kappa\pi-\mu\pi}\BesselJ{2\mu}@{\sqrt{\zeta\kappa}}-\cos@{\kappa\pi-\mu\pi}\BesselY{2\mu}@{\sqrt{\zeta\kappa}}+\envBesselY{2\mu}@{\sqrt{\zeta\kappa}}\bigO@{\kappa^{-1}}\right),}
    0 references
    DLMF id
    DLMF:13.21.E14
    0 references
    Symbols used
    Bessel function of the first kind
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselJ{\NVar{\nu}}@{\NVar{z}}}
    xml-id
    C10.S2.E2.m2acdec
    0 references
    Bessel function of the second kind
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselY{\NVar{\nu}}@{\NVar{z}}}
    xml-id
    C10.S2.E3.m2aadec
    0 references
    order not exceeding
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
    xml-id
    C2.S1.E3.m2agdec
    0 references
    gamma function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
    xml-id
    C5.S2.E1.m2afdec
    0 references
    Whittaker confluent hypergeometric function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}
    xml-id
    C13.S14.E3.m2addec
    0 references
    the ratio of the circumference of a circle to its diameter
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2afdec
    0 references
    cosine function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
    xml-id
    C4.S14.E2.m2aadec
    0 references
    Q11091
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \envBesselY{\NVar{\nu}}@{\NVar{x}}}
    xml-id
    C2.S8.SS4.p5.m4acdec
    0 references
    base of natural logarithm
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
    xml-id
    C4.S2.E11.m2aedec
    0 references
    imaginary unit
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
    xml-id
    C1.S9.E1.m2acdec
    0 references
    sine function
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
    xml-id
    C4.S14.E1.m2aadec
    0 references
    Q11566
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
    xml-id
    C13.S1.XMD4.m1ldec
    0 references
    function (locally)
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c(\kappa,\mu)}
    xml-id
    C13.S21.XMD1.m1adec
    0 references
    function (locally)
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Psi(\kappa,\mu,x)}
    xml-id
    C13.S21.XMD3.m1bdec
    0 references
     
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