DLMF:33.9.E6 (Q9556): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: asymptotic equality / rank
 
Normal rank
Property / Symbols used: asymptotic equality / qualifier
 
test:

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

\asympeq
Property / Symbols used: asymptotic equality / qualifier
 
xml-id: C2.S1.E1.m2adec
Property / Symbols used
 
Property / Symbols used: Q12670 / rank
 
Normal rank
Property / Symbols used: Q12670 / qualifier
 
test:

Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \irregCoulombG{\NVar{\ell}}@{\NVar{\eta}}{\NVar{\rho}}}

\irregCoulombG{\NVar{\ell}}@{\NVar{\eta}}{\NVar{\rho}}
Property / Symbols used: Q12670 / qualifier
 
xml-id: C33.S2.E11.m1adec
Property / Symbols used
 
Property / Symbols used: modified Bessel function of the second kind / rank
 
Normal rank
Property / Symbols used: modified Bessel function of the second kind / qualifier
 
test:

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

\modBesselK{\NVar{\nu}}@{\NVar{z}}
Property / Symbols used: modified Bessel function of the second kind / qualifier
 
xml-id: C10.S25.E3.m2adec
Property / Symbols used
 
Property / Symbols used: Q12669 / rank
 
Normal rank
Property / Symbols used: Q12669 / qualifier
 
test:

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

k
Property / Symbols used: Q12669 / qualifier
 
xml-id: C33.S1.XMD1.m1edec
Property / Symbols used
 
Property / Symbols used: Q12666 / rank
 
Normal rank
Property / Symbols used: Q12666 / qualifier
 
test:

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

\ell
Property / Symbols used: Q12666 / qualifier
 
xml-id: C33.S1.XMD2.m1edec
Property / Symbols used
 
Property / Symbols used: Q12667 / rank
 
Normal rank
Property / Symbols used: Q12667 / qualifier
 
test:

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

\rho
Property / Symbols used: Q12667 / qualifier
 
xml-id: C33.S1.XMD5.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12668 / rank
 
Normal rank
Property / Symbols used: Q12668 / qualifier
 
test:

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

\eta
Property / Symbols used: Q12668 / qualifier
 
xml-id: C33.S1.XMD7.m1edec
Property / Symbols used
 
Property / Symbols used: Q12681 / rank
 
Normal rank
Property / Symbols used: Q12681 / qualifier
 
test:

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

t
Property / Symbols used: Q12681 / qualifier
 
xml-id: C33.S9.XMD2.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12682 / rank
 
Normal rank
Property / Symbols used: Q12682 / qualifier
 
test:

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

b_{k}
Property / Symbols used: Q12682 / qualifier
 
xml-id: C33.S9.XMD3.m1cdec
Property / Symbols used
 
Property / Symbols used: coefficient (locally) / rank
 
Normal rank
Property / Symbols used: coefficient (locally) / qualifier
 
test:

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

\lambda_{\ell}(\eta)
Property / Symbols used: coefficient (locally) / qualifier
 
xml-id: C33.S9.XMD4.m1dec

Latest revision as of 14:27, 2 January 2020

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DLMF:33.9.E6
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    Statements

    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \irregCoulombG{\ell}@{\eta}{\rho}\asympeq\frac{\rho^{-\ell}}{(\ell+\frac{1}{2})\lambda_{\ell}(\eta)\normCoulombC{\ell}@{\eta}}\*\sum_{k=2\ell+1}^{\infty}(-1)^{k}b_{k}t^{k/2}\modBesselK{k}@{\textstyle 2\sqrt{t}},}
    0 references
    DLMF id
    DLMF:33.9.E6
    0 references
    Symbols used
    normalizing constant for Coulomb radial functions
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \normCoulombC{\NVar{\ell}}@{\NVar{\eta}}}
    xml-id
    C33.S2.E5.m2abdec
    0 references
    asymptotic equality
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympeq}
    xml-id
    C2.S1.E1.m2adec
    0 references
    Q12670
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \irregCoulombG{\NVar{\ell}}@{\NVar{\eta}}{\NVar{\rho}}}
    xml-id
    C33.S2.E11.m1adec
    0 references
    modified Bessel function of the second kind
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modBesselK{\NVar{\nu}}@{\NVar{z}}}
    xml-id
    C10.S25.E3.m2adec
    0 references
    Q12669
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
    xml-id
    C33.S1.XMD1.m1edec
    0 references
    Q12666
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ell}
    xml-id
    C33.S1.XMD2.m1edec
    0 references
    Q12667
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \rho}
    xml-id
    C33.S1.XMD5.m1cdec
    0 references
    Q12668
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \eta}
    xml-id
    C33.S1.XMD7.m1edec
    0 references
    Q12681
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t}
    xml-id
    C33.S9.XMD2.m1bdec
    0 references
    Q12682
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b_{k}}
    xml-id
    C33.S9.XMD3.m1cdec
    0 references
    coefficient (locally)
    test
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lambda_{\ell}(\eta)}
    xml-id
    C33.S9.XMD4.m1dec
    0 references
     
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