DLMF:33.16.E10 (Q9638): Difference between revisions

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

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

\nu
Property / Symbols used: parameter (locally) / qualifier
 
xml-id: C33.S16.XMD2.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12694 / rank
 
Normal rank
Property / Symbols used: Q12694 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zeta_{\ell}(\nu,r)}

\zeta_{\ell}(\nu,r)
Property / Symbols used: Q12694 / qualifier
 
xml-id: C33.S16.XMD3.m1adec
Property / Symbols used
 
Property / Symbols used: Q12695 / rank
 
Normal rank
Property / Symbols used: Q12695 / qualifier
 
Defining formula:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \xi_{\ell}(\nu,r)}

\xi_{\ell}(\nu,r)
Property / Symbols used: Q12695 / qualifier
 
xml-id: C33.S16.XMD4.m1adec

Latest revision as of 14:35, 2 January 2020

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DLMF:33.16.E10
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \regCoulombf@{\epsilon}{\ell}{r}=(-1)^{\ell}\nu^{\ell+1}\left(-\frac{\cos@{\pi\nu}\zeta_{\ell}(\nu,r)}{\EulerGamma@{\ell+1+\nu}}+\frac{\sin@{\pi\nu}\EulerGamma@{\nu-\ell}\xi_{\ell}(\nu,r)}{\pi}\right),}
    0 references
    DLMF:33.16.E10
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \regCoulombf@{\NVar{\epsilon}}{\NVar{\ell}}{\NVar{r}}}
    C33.S14.E4.m2acdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \EulerGamma@{\NVar{z}}}
    C5.S2.E1.m2adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    C3.S12.E1.m2afdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
    C4.S14.E2.m2adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
    C4.S14.E1.m2adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ell}
    C33.S1.XMD2.m1gdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle r}
    C33.S1.XMD3.m1edec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \epsilon}
    C33.S1.XMD6.m1fdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
    C33.S16.XMD2.m1bdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zeta_{\ell}(\nu,r)}
    C33.S16.XMD3.m1adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \xi_{\ell}(\nu,r)}
    C33.S16.XMD4.m1adec
    0 references