DLMF:33.9.E6 (Q9556): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(9 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: asymptotic equality / rank | |||
Normal rank | |||
Property / Symbols used: asymptotic equality / qualifier | |||
Defining formula: 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 | |||
Defining formula: 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 | |||
Defining formula: 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 | |||
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.m1edec | |||
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.m1edec | |||
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.m1cdec | |||
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.m1edec | |||
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.m1bdec | |||
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.m1cdec | |||
Property / Symbols used | |||
Property / Symbols used: coefficient (locally) / rank | |||
Normal rank | |||
Property / Symbols used: coefficient (locally) / qualifier | |||
Defining formula: 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
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:33.9.E6 |
No description defined |
Statements
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:33.9.E6
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.m2abdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympeq}
C2.S1.E1.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \irregCoulombG{\NVar{\ell}}@{\NVar{\eta}}{\NVar{\rho}}}
C33.S2.E11.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \modBesselK{\NVar{\nu}}@{\NVar{z}}}
C10.S25.E3.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
C33.S1.XMD1.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \ell}
C33.S1.XMD2.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \rho}
C33.S1.XMD5.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \eta}
C33.S1.XMD7.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle t}
C33.S9.XMD2.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b_{k}}
C33.S9.XMD3.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \lambda_{\ell}(\eta)}
C33.S9.XMD4.m1dec
0 references