DLMF:13.21.E16 (Q4624): Difference between revisions
Jump to navigation
Jump to search
Created a new Item: Wikidata Toolkit example test item creation |
Changed an Item: Add constraint |
||
(9 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: order not exceeding / rank | |||
Normal rank | |||
Property / Symbols used: order not exceeding / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}\bigO@{\NVar{x}} | |||
Property / Symbols used: order not exceeding / qualifier | |||
xml-id: C2.S1.E3.m2aidec | |||
Property / Symbols used | |||
Property / Symbols used: Bessel function of the third kind (or Hankel function) / rank | |||
Normal rank | |||
Property / Symbols used: Bessel function of the third kind (or Hankel function) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HankelH{2}{\NVar{\nu}}@{\NVar{z}}}\HankelH{2}{\NVar{\nu}}@{\NVar{z}} | |||
Property / Symbols used: Bessel function of the third kind (or Hankel function) / qualifier | |||
xml-id: C10.S2.E6.m2aadec | |||
Property / Symbols used | |||
Property / Symbols used: Whittaker confluent hypergeometric function / rank | |||
Normal rank | |||
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}\WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}} | |||
Property / Symbols used: Whittaker confluent hypergeometric function / qualifier | |||
xml-id: C13.S14.E3.m2afdec | |||
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.m2ahdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11091 / rank | |||
Normal rank | |||
Property / Symbols used: Q11091 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \envBesselY{\NVar{\nu}}@{\NVar{x}}}\envBesselY{\NVar{\nu}}@{\NVar{x}} | |||
Property / Symbols used: Q11091 / qualifier | |||
xml-id: C2.S8.SS4.p5.m4aedec | |||
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.m2agdec | |||
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.m2aedec | |||
Property / Symbols used | |||
Property / Symbols used: Q11566 / rank | |||
Normal rank | |||
Property / Symbols used: Q11566 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}x | |||
Property / Symbols used: Q11566 / qualifier | |||
xml-id: C13.S1.XMD4.m1ndec | |||
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 c(\kappa,\mu)}c(\kappa,\mu) | |||
Property / Symbols used: function (locally) / qualifier | |||
xml-id: C13.S21.XMD1.m1cdec | |||
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 \Psi(\kappa,\mu,x)}\Psi(\kappa,\mu,x) | |||
Property / Symbols used: function (locally) / qualifier | |||
xml-id: C13.S21.XMD3.m1ddec |
Latest revision as of 16:20, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:13.21.E16 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperW{-\kappa}{\mu}@{xe^{\pi\iunit}}=e^{-2\mu\pi\iunit}c(\kappa,\mu)\Psi(\kappa,\mu,x)\left(\HankelH{2}{2\mu}@{\sqrt{\zeta\kappa}}+\envBesselY{2\mu}@{\sqrt{\zeta\kappa}}\bigO@{\kappa^{-1}}\right),}
0 references
DLMF:13.21.E16
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
C2.S1.E3.m2aidec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HankelH{2}{\NVar{\nu}}@{\NVar{z}}}
C10.S2.E6.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \WhittakerconfhyperW{\NVar{\kappa}}{\NVar{\mu}}@{\NVar{z}}}
C13.S14.E3.m2afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2ahdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \envBesselY{\NVar{\nu}}@{\NVar{x}}}
C2.S8.SS4.p5.m4aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2agdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C13.S1.XMD4.m1ndec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle c(\kappa,\mu)}
C13.S21.XMD1.m1cdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \Psi(\kappa,\mu,x)}
C13.S21.XMD3.m1ddec
0 references