DLMF:33.16.E4 (Q9631): Difference between revisions

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Property / Symbols used
 
Property / Symbols used: regular Coulomb function / rank
 
Normal rank
Property / Symbols used: regular Coulomb function / qualifier
 
Defining formula:

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

\regCoulombf@{\NVar{\epsilon}}{\NVar{\ell}}{\NVar{r}}
Property / Symbols used: regular Coulomb function / qualifier
 
xml-id: C33.S14.E4.m2aadec
Property / Symbols used
 
Property / Symbols used: the ratio of the circumference of a circle to its diameter / rank
 
Normal rank
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
Defining formula:

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

\cpi
Property / Symbols used: the ratio of the circumference of a circle to its diameter / qualifier
 
xml-id: C3.S12.E1.m2aadec
Property / Symbols used
 
Property / Symbols used: base of natural logarithm / rank
 
Normal rank
Property / Symbols used: base of natural logarithm / qualifier
 
Defining formula:

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

\expe
Property / Symbols used: base of natural logarithm / qualifier
 
xml-id: C4.S2.E11.m2adec
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.m2aadec
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.m1bdec
Property / Symbols used
 
Property / Symbols used: Q12692 / rank
 
Normal rank
Property / Symbols used: Q12692 / qualifier
 
Defining formula:

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

r
Property / Symbols used: Q12692 / qualifier
 
xml-id: C33.S1.XMD3.m1dec
Property / Symbols used
 
Property / Symbols used: Q12693 / rank
 
Normal rank
Property / Symbols used: Q12693 / qualifier
 
Defining formula:

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

\epsilon
Property / Symbols used: Q12693 / qualifier
 
xml-id: C33.S1.XMD6.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 A(\epsilon,\ell)}

A(\epsilon,\ell)
Property / Symbols used: function (locally) / qualifier
 
xml-id: C33.S14.XMD4.m1dec
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 \tau}

\tau
Property / Symbols used: parameter (locally) / qualifier
 
xml-id: C33.S16.XMD1.m1adec

Latest revision as of 13:34, 2 January 2020

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DLMF:33.16.E4
No description defined

    Statements

    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \regCoulombf@{\epsilon}{\ell}{r}=\left(\frac{2}{\pi\tau}\frac{1-e^{-2\pi/\tau}}{A(\epsilon,\ell)}\right)^{\ifrac{1}{2}}\regCoulombF{\ell}@{-1/\tau}{\tau r},}
    0 references
    DLMF id
    DLMF:33.16.E4
    0 references
    Symbols used
    regular Coulomb function
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \regCoulombf@{\NVar{\epsilon}}{\NVar{\ell}}{\NVar{r}}}
    xml-id
    C33.S14.E4.m2aadec
    0 references
    the ratio of the circumference of a circle to its diameter
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    xml-id
    C3.S12.E1.m2aadec
    0 references
    base of natural logarithm
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
    xml-id
    C4.S2.E11.m2adec
    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.m2aadec
    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.m1bdec
    0 references
    Q12692
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle r}
    xml-id
    C33.S1.XMD3.m1dec
    0 references
    Q12693
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \epsilon}
    xml-id
    C33.S1.XMD6.m1adec
    0 references
    function (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A(\epsilon,\ell)}
    xml-id
    C33.S14.XMD4.m1dec
    0 references
    parameter (locally)
    Defining formula
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tau}
    xml-id
    C33.S16.XMD1.m1adec
    0 references
     
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