DLMF:13.16.E10 (Q4561): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
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 \WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}

\WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier
 
xml-id: C13.S14.E2.m2aedec

Revision as of 16:11, 2 January 2020

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DLMF:13.16.E10
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \frac{1}{\EulerGamma@{1+2\mu}}\WhittakerconfhyperM{\kappa}{\mu}@{e^{\pm\pi\iunit}z}=\frac{e^{\frac{1}{2}z\pm(\frac{1}{2}+\mu)\pi\iunit}}{2\pi\iunit\EulerGamma@{\frac{1}{2}+\mu-\kappa}}\*\int_{-\iunit\infty}^{\iunit\infty}\frac{\EulerGamma@{t-\kappa}\EulerGamma@{\frac{1}{2}+\mu-t}}{\EulerGamma@{\frac{1}{2}+\mu+t}}z^{t}\diff{t},}
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    DLMF:13.16.E10
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle |\phase{z}|<\tfrac{1}{2}\pi}
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    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 \WhittakerconfhyperM{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}
    C13.S14.E2.m2aedec
    0 references