DLMF:33.7.E3 (Q9540): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(8 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: hyperbolic cosine function / rank | |||
Normal rank | |||
Property / Symbols used: hyperbolic cosine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{\NVar{z}}}\cosh@@{\NVar{z}} | |||
Property / Symbols used: hyperbolic cosine function / qualifier | |||
xml-id: C4.S28.E2.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: hyperbolic tangent function / rank | |||
Normal rank | |||
Property / Symbols used: hyperbolic tangent function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{\NVar{z}}}\tanh@@{\NVar{z}} | |||
Property / Symbols used: hyperbolic tangent function / qualifier | |||
xml-id: C4.S28.E4.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: imaginary unit / rank | |||
Normal rank | |||
Property / Symbols used: imaginary unit / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}\iunit | |||
Property / Symbols used: imaginary unit / qualifier | |||
xml-id: C1.S9.E1.m2abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q10771 / rank | |||
Normal rank | |||
Property / Symbols used: Q10771 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}\int | |||
Property / Symbols used: Q10771 / qualifier | |||
xml-id: C1.S4.SS4.m3abdec | |||
Property / Symbols used | |||
Property / Symbols used: Q10816 / rank | |||
Normal rank | |||
Property / Symbols used: Q10816 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atan@@{\NVar{z}}}\atan@@{\NVar{z}} | |||
Property / Symbols used: Q10816 / qualifier | |||
xml-id: C4.S23.SS2.p1.m7adec | |||
Property / Symbols used | |||
Property / Symbols used: irregular Coulomb radial functions / rank | |||
Normal rank | |||
Property / Symbols used: irregular Coulomb radial functions / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \irregCoulombH{\NVar{\pm}}{\NVar{\ell}}@{\NVar{\eta}}{\NVar{\rho}}}\irregCoulombH{\NVar{\pm}}{\NVar{\ell}}@{\NVar{\eta}}{\NVar{\rho}} | |||
Property / Symbols used: irregular Coulomb radial functions / qualifier | |||
xml-id: C33.S2.E7.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: 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.m1bdec |
Latest revision as of 14:25, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:33.7.E3 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \irregCoulombH{-}{\ell}@{\eta}{\rho}=\frac{-\iunit e^{-\pi\eta}\rho^{\ell+1}}{(2\ell+1)!\normCoulombC{\ell}@{\eta}}\int_{0}^{\infty}\left(\frac{\exp@{-\iunit(\rho\tanh@@{t}-2\eta t)}}{(\cosh@@{t})^{2\ell+2}}+\iunit(1+t^{2})^{\ell}\exp@{-\rho t+2\eta\atan@@{t}}\right)\diff{t},}
0 references
DLMF:33.7.E3
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \normCoulombC{\NVar{\ell}}@{\NVar{\eta}}}
C33.S2.E5.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \diff{\NVar{x}}}
C1.S4.SS4.m1abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \exp@@{\NVar{z}}}
C4.S2.E19.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2abdec
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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
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cosh@@{\NVar{z}}}
C4.S28.E2.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \tanh@@{\NVar{z}}}
C4.S28.E4.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \int}
C1.S4.SS4.m3abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \atan@@{\NVar{z}}}
C4.S23.SS2.p1.m7adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \irregCoulombH{\NVar{\pm}}{\NVar{\ell}}@{\NVar{\eta}}{\NVar{\rho}}}
C33.S2.E7.m2aadec
0 references
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 \rho}
C33.S1.XMD5.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \eta}
C33.S1.XMD7.m1bdec
0 references