DLMF:28.24.E2 (Q8399): 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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(9 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: Bessel function of the first kind / rank | |||
Normal rank | |||
Property / Symbols used: Bessel function of the first kind / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselJ{\NVar{\nu}}@{\NVar{z}}}\BesselJ{\NVar{\nu}}@{\NVar{z}} | |||
Property / Symbols used: Bessel function of the first kind / qualifier | |||
xml-id: C10.S2.E2.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: radial Mathieu function / rank | |||
Normal rank | |||
Property / Symbols used: radial Mathieu function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \radMathieuMc{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}}}\radMathieuMc{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}} | |||
Property / Symbols used: radial Mathieu function / qualifier | |||
xml-id: C28.S20.E15.m2adec | |||
Property / Symbols used | |||
Property / Symbols used: Q12284 / rank | |||
Normal rank | |||
Property / Symbols used: Q12284 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
Property / Symbols used: Q12284 / qualifier | |||
xml-id: C28.S1.XMD1.m1dec | |||
Property / Symbols used | |||
Property / Symbols used: Q12294 / rank | |||
Normal rank | |||
Property / Symbols used: Q12294 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h}h | |||
Property / Symbols used: Q12294 / qualifier | |||
xml-id: C28.S1.XMD11.m1adec | |||
Property / Symbols used | |||
Property / Symbols used: Q12291 / rank | |||
Normal rank | |||
Property / Symbols used: Q12291 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}j | |||
Property / Symbols used: Q12291 / qualifier | |||
xml-id: C28.S1.XMD3.m1adec | |||
Property / Symbols used | |||
Property / Symbols used: Q12272 / rank | |||
Normal rank | |||
Property / Symbols used: Q12272 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}z | |||
Property / Symbols used: Q12272 / qualifier | |||
xml-id: C28.S1.XMD6.m1adec | |||
Property / Symbols used | |||
Property / Symbols used: Q12304 / rank | |||
Normal rank | |||
Property / Symbols used: Q12304 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{C}_{\mu}^{(j)}}\mathcal{C}_{\mu}^{(j)} | |||
Property / Symbols used: Q12304 / qualifier | |||
xml-id: C28.S23.XMD1.m1adec | |||
Property / Symbols used | |||
Property / Symbols used: Q12305 / rank | |||
Normal rank | |||
Property / Symbols used: Q12305 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \varepsilon_{s}}\varepsilon_{s} | |||
Property / Symbols used: Q12305 / qualifier | |||
xml-id: C28.S24.XMD1.m1dec | |||
Property / Symbols used | |||
Property / Symbols used: Q12287 / rank | |||
Normal rank | |||
Property / Symbols used: Q12287 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{m}(q)}A_{m}(q) | |||
Property / Symbols used: Q12287 / qualifier | |||
xml-id: C28.S4.XMD1.m1dec |
Latest revision as of 15:11, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:28.24.E2 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \varepsilon_{s}\radMathieuMc{j}{2m}@{z}{h}=(-1)^{m}\sum_{\ell=0}^{\infty}(-1)^{\ell}\frac{A_{2\ell}^{2m}(h^{2})}{A_{2s}^{2m}(h^{2})}\left(\BesselJ{\ell-s}@{he^{-z}}{\cal C}_{\ell+s}^{(j)}(he^{z})+\BesselJ{\ell+s}@{he^{-z}}{\cal C}_{\ell-s}^{(j)}(he^{z})\right),}
0 references
DLMF:28.24.E2
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \BesselJ{\NVar{\nu}}@{\NVar{z}}}
C10.S2.E2.m2aadec
0 references
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 \radMathieuMc{\NVar{j}}{\NVar{n}}@{\NVar{z}}{\NVar{h}}}
C28.S20.E15.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C28.S1.XMD1.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle h}
C28.S1.XMD11.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle j}
C28.S1.XMD3.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle z}
C28.S1.XMD6.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \mathcal{C}_{\mu}^{(j)}}
C28.S23.XMD1.m1adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \varepsilon_{s}}
C28.S24.XMD1.m1dec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{m}(q)}
C28.S4.XMD1.m1dec
0 references