DLMF:33.19.E3 (Q9661): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
 
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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: Q12697 / rank
 
Normal rank
Property / Symbols used: Q12697 / qualifier
 
Defining formula:

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

\gamma_{k}
Property / Symbols used: Q12697 / qualifier
 
xml-id: C33.S19.XMD2.m1dec
Property / Symbols used
 
Property / Symbols used: Q12698 / rank
 
Normal rank
Property / Symbols used: Q12698 / qualifier
 
Defining formula:

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

\delta_{k}
Property / Symbols used: Q12698 / qualifier
 
xml-id: C33.S19.XMD3.m1dec

Latest revision as of 14:37, 2 January 2020

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DLMF:33.19.E3
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    Statements

    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle 2\pi\irregCoulombh@{\epsilon}{\ell}{r}={\sum_{k=0}^{2\ell}\frac{(2\ell-k)!\gamma_{k}}{k!}(2r)^{k-\ell}-\sum_{k=0}^{\infty}\delta_{k}r^{k+\ell+1}}-A(\epsilon,\ell)\left(2\ln@@{|2r/\kappa|}+\realpart@@{\digamma@{\ell+1+\kappa}}+\realpart@@{\digamma@{-\ell+\kappa}}\right){\regCoulombf@{\epsilon}{\ell}{r},}}
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    DLMF:33.19.E3
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle r\neq 0}
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    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.m2aadec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \irregCoulombh@{\NVar{\epsilon}}{\NVar{\ell}}{\NVar{r}}}
    C33.S14.E7.m2adec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
    C3.S12.E1.m2adec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \digamma@{\NVar{z}}}
    C5.S2.E2.m2adec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle !}
    introduction.Sx4.p1.t1.r15.m5aadec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ln@@{\NVar{z}}}
    C4.S2.E2.m2adec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \realpart@@}
    C1.S9.E2.m1adec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
    C33.S1.XMD1.m1bdec
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ell}
    C33.S1.XMD2.m1bdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle r}
    C33.S1.XMD3.m1adec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \epsilon}
    C33.S1.XMD6.m1bdec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \kappa}
    C33.S14.XMD1.m1dec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A(\epsilon,\ell)}
    C33.S14.XMD4.m1dec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \gamma_{k}}
    C33.S19.XMD2.m1dec
    0 references
    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \delta_{k}}
    C33.S19.XMD3.m1dec
    0 references