DLMF:33.9.E4 (Q9554): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: normalizing constant for Coulomb radial functions / rank
 
Normal rank
Property / Symbols used: normalizing constant for Coulomb radial functions / qualifier
 
Defining formula:

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

\normCoulombC{\NVar{\ell}}@{\NVar{\eta}}
Property / Symbols used: normalizing constant for Coulomb radial functions / qualifier
 
xml-id: C33.S2.E5.m2aadec
Property / Symbols used
 
Property / Symbols used: Q10755 / rank
 
Normal rank
Property / Symbols used: Q10755 / qualifier
 
Defining formula:

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

!
Property / Symbols used: Q10755 / qualifier
 
xml-id: introduction.Sx4.p1.t1.r15.m5aadec
Property / Symbols used
 
Property / Symbols used: regular Coulomb radial function / rank
 
Normal rank
Property / Symbols used: regular Coulomb radial function / qualifier
 
Defining formula:

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

\regCoulombF{\NVar{\ell}}@{\NVar{\eta}}{\NVar{\rho}}
Property / Symbols used: regular Coulomb radial function / qualifier
 
xml-id: C33.S2.E3.m2abdec
Property / Symbols used
 
Property / Symbols used: Q12669 / rank
 
Normal rank
Property / Symbols used: Q12669 / qualifier
 
Defining formula:

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.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12666 / rank
 
Normal rank
Property / Symbols used: Q12666 / qualifier
 
Defining formula:

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.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12667 / rank
 
Normal rank
Property / Symbols used: Q12667 / qualifier
 
Defining formula:

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.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12668 / rank
 
Normal rank
Property / Symbols used: Q12668 / qualifier
 
Defining formula:

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.m1cdec
Property / Symbols used
 
Property / Symbols used: Q12681 / rank
 
Normal rank
Property / Symbols used: Q12681 / qualifier
 
Defining formula:

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.m1adec
Property / Symbols used
 
Property / Symbols used: Q12682 / rank
 
Normal rank
Property / Symbols used: Q12682 / qualifier
 
Defining formula:

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.m1adec

Latest revision as of 13:27, 2 January 2020

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DLMF:33.9.E4
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \regCoulombF{\ell}@{\eta}{\rho}=\normCoulombC{\ell}@{\eta}\frac{(2\ell+1)!}{(2\abs{\eta})^{2\ell+1}}\rho^{-\ell}\*\sum_{k=2\ell+1}^{\infty}\!\!b_{k}t^{k/2}\BesselJ{k}@{\textstyle 2\sqrt{t}},}
    0 references
    DLMF id
    DLMF:33.9.E4
    0 references
    constraint
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \eta<0}
    0 references
    Symbols used
    Bessel function of the first kind
    Defining formula
    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.m2adec
    0 references
    normalizing constant for Coulomb radial functions
    Defining formula
    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.m2aadec
    0 references
    Q10755
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
    xml-id
    introduction.Sx4.p1.t1.r15.m5aadec
    0 references
    regular Coulomb radial function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \regCoulombF{\NVar{\ell}}@{\NVar{\eta}}{\NVar{\rho}}}
    xml-id
    C33.S2.E3.m2abdec
    0 references
    Q12669
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
    xml-id
    C33.S1.XMD1.m1cdec
    0 references
    Q12666
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ell}
    xml-id
    C33.S1.XMD2.m1cdec
    0 references
    Q12667
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \rho}
    xml-id
    C33.S1.XMD5.m1bdec
    0 references
    Q12668
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \eta}
    xml-id
    C33.S1.XMD7.m1cdec
    0 references
    Q12681
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t}
    xml-id
    C33.S9.XMD2.m1adec
    0 references
    Q12682
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b_{k}}
    xml-id
    C33.S9.XMD3.m1adec
    0 references
     
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