DLMF:13.21.E22 (Q4630): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
(One intermediate revision by the same user not shown)
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
Defining formula:

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

\widehat{c}(\kappa,\mu)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C13.S21.XMD4.m1adec
Property / Symbols used
 
Property / Symbols used: function (locally) / rank
 
Normal rank
Property / Symbols used: function (locally) / qualifier
 
Defining formula:

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

\widehat{\Psi}(\kappa,\mu,x)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C13.S21.XMD6.m1adec

Latest revision as of 15:20, 2 January 2020

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DLMF:13.21.E22
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperM{\kappa}{\mu}@{x}=\frac{1}{2\pi}\*\EulerGamma@{2\mu+1}\*\EulerGamma@{\kappa-\mu+\tfrac{1}{2}}\*\widehat{c}(\kappa,\mu)\*\widehat{\Psi}(\kappa,\mu,x)\*\left(\sin@{\kappa\pi-\mu\pi}\AiryAi@{\kappa^{\frac{2}{3}}\widehat{\zeta}}+\cos@{\kappa\pi-\mu\pi}\AiryBi@{\kappa^{\frac{2}{3}}\widehat{\zeta}}+\envAiryBi@{\kappa^{\frac{2}{3}}\widehat{\zeta}}\bigO@{\kappa^{-1}}\right),}
    0 references
    DLMF:13.21.E22
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AiryAi@{\NVar{z}}}
    C9.S2.SS1.m1adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AiryBi@{\NVar{z}}}
    C9.S2.SS1.m2adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
    C2.S1.E3.m2ajdec
    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
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}
    C13.S14.E2.m2acdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    C3.S12.E1.m2ajdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
    C4.S14.E2.m2abdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \envAiryBi@{\NVar{x}}}
    C2.S8.SS3.p4.m6adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
    C4.S14.E1.m2abdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
    C13.S1.XMD4.m1sdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \widehat{c}(\kappa,\mu)}
    C13.S21.XMD4.m1adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \widehat{\Psi}(\kappa,\mu,x)}
    C13.S21.XMD6.m1adec
    0 references