DLMF:10.20.E9 (Q3258): Difference between revisions
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Created a new Item: Wikidata Toolkit example test item creation |
Changed an Item: Add constraint |
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(12 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Q10919 / rank | |||
Normal rank | |||
Property / Symbols used: Q10919 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AiryAi@{\NVar{z}}}\AiryAi@{\NVar{z}} | |||
Property / Symbols used: Q10919 / qualifier | |||
xml-id: C9.S2.SS1.m1acdec | |||
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{1}{\NVar{\nu}}@{\NVar{z}}}\HankelH{1}{\NVar{\nu}}@{\NVar{z}} | |||
Property / Symbols used: Bessel function of the third kind (or Hankel function) / qualifier | |||
xml-id: C10.S2.E5.m2aadec | |||
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: Q10931 / rank | |||
Normal rank | |||
Property / Symbols used: Q10931 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympexp}\asympexp | |||
Property / Symbols used: Q10931 / qualifier | |||
xml-id: C2.S1.SS3.p1.m11aedec | |||
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.m2aadec | |||
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.m2aadec | |||
Property / Symbols used | |||
Property / Symbols used: Q11428 / rank | |||
Normal rank | |||
Property / Symbols used: Q11428 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}k | |||
Property / Symbols used: Q11428 / qualifier | |||
xml-id: C10.S1.XMD3.m1edec | |||
Property / Symbols used | |||
Property / Symbols used: Q11426 / rank | |||
Normal rank | |||
Property / Symbols used: Q11426 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q11426 / qualifier | |||
xml-id: C10.S1.XMD6.m1hdec | |||
Property / Symbols used | |||
Property / Symbols used: Q11427 / rank | |||
Normal rank | |||
Property / Symbols used: Q11427 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}\nu | |||
Property / Symbols used: Q11427 / qualifier | |||
xml-id: C10.S1.XMD7.m1edec | |||
Property / Symbols used | |||
Property / Symbols used: Q11451 / rank | |||
Normal rank | |||
Property / Symbols used: Q11451 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zeta(z)}\zeta(z) | |||
Property / Symbols used: Q11451 / qualifier | |||
xml-id: C10.S20.XMD1.m1hdec | |||
Property / Symbols used | |||
Property / Symbols used: coefficients (locally) / rank | |||
Normal rank | |||
Property / Symbols used: coefficients (locally) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle C_{k}(\zeta)}C_{k}(\zeta) | |||
Property / Symbols used: coefficients (locally) / qualifier | |||
xml-id: C10.S20.XMD6.m1bdec | |||
Property / Symbols used | |||
Property / Symbols used: coefficients (locally) / rank | |||
Normal rank | |||
Property / Symbols used: coefficients (locally) / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle D_{k}(\zeta)}D_{k}(\zeta) | |||
Property / Symbols used: coefficients (locally) / qualifier | |||
xml-id: C10.S20.XMD7.m1bdec |
Latest revision as of 15:39, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:10.20.E9 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \rselection{\HankelH{1}{\nu}'@{\nu z}\\ \HankelH{2}{\nu}'@{\nu z}}\asympexp\frac{4e^{\mp 2\pi i/3}}{z}\left(\frac{1-z^{2}}{4\zeta}\right)^{\frac{1}{4}}\*\left(\frac{e^{\mp 2\pi i/3}\AiryAi@{e^{\pm 2\pi i/3}\nu^{\frac{2}{3}}\zeta}}{\nu^{\frac{4}{3}}}\sum_{k=0}^{\infty}\frac{C_{k}(\zeta)}{\nu^{2k}}+\frac{\AiryAi'@{e^{\pm 2\pi i/3}\nu^{\frac{2}{3}}\zeta}}{\nu^{\frac{2}{3}}}\sum_{k=0}^{\infty}\frac{D_{k}(\zeta)}{\nu^{2k}}\right),}
0 references
DLMF:10.20.E9
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \AiryAi@{\NVar{z}}}
C9.S2.SS1.m1acdec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \HankelH{1}{\NVar{\nu}}@{\NVar{z}}}
C10.S2.E5.m2aadec
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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
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \asympexp}
C2.S1.SS3.p1.m11aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \iunit}
C1.S9.E1.m2aadec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle k}
C10.S1.XMD3.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C10.S1.XMD6.m1hdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C10.S1.XMD7.m1edec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \zeta(z)}
C10.S20.XMD1.m1hdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle C_{k}(\zeta)}
C10.S20.XMD6.m1bdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle D_{k}(\zeta)}
C10.S20.XMD7.m1bdec
0 references