DLMF:18.15.E19 (Q5713): 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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(11 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: 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.m2aedec | |||
Property / Symbols used | |||
Property / Symbols used: Q11333 / rank | |||
Normal rank | |||
Property / Symbols used: Q11333 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LaguerrepolyL[\NVar{\alpha}]{\NVar{n}}@{\NVar{x}}}\LaguerrepolyL[\NVar{\alpha}]{\NVar{n}}@{\NVar{x}} | |||
Property / Symbols used: Q11333 / qualifier | |||
xml-id: C18.S3.T1.t1.r12.m2aadec | |||
Property / Symbols used | |||
Property / Symbols used: Q11090 / rank | |||
Normal rank | |||
Property / Symbols used: Q11090 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \envBesselJ{\NVar{\nu}}@{\NVar{x}}}\envBesselJ{\NVar{\nu}}@{\NVar{x}} | |||
Property / Symbols used: Q11090 / qualifier | |||
xml-id: C2.S8.SS4.p5.m2adec | |||
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: Q11730 / rank | |||
Normal rank | |||
Property / Symbols used: Q11730 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}m | |||
Property / Symbols used: Q11730 / qualifier | |||
xml-id: C18.S1.XMD5.m1ldec | |||
Property / Symbols used | |||
Property / Symbols used: Q11726 / rank | |||
Normal rank | |||
Property / Symbols used: Q11726 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}n | |||
Property / Symbols used: Q11726 / qualifier | |||
xml-id: C18.S1.XMD6.m1ldec | |||
Property / Symbols used | |||
Property / Symbols used: DLMF:18.15.E17 / rank | |||
Normal rank | |||
Property / Symbols used: DLMF:18.15.E17 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}\nu | |||
Property / Symbols used: DLMF:18.15.E17 / qualifier | |||
xml-id: C18.S15.XMD14.m1adec | |||
Property / Symbols used | |||
Property / Symbols used: DLMF:18.15.E18 / rank | |||
Normal rank | |||
Property / Symbols used: DLMF:18.15.E18 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \xi}\xi | |||
Property / Symbols used: DLMF:18.15.E18 / qualifier | |||
xml-id: C18.S15.XMD15.m1adec | |||
Property / Symbols used | |||
Property / Symbols used: Q11757 / rank | |||
Normal rank | |||
Property / Symbols used: Q11757 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{m}(\xi)}A_{m}(\xi) | |||
Property / Symbols used: Q11757 / qualifier | |||
xml-id: C18.S15.XMD16.m1dec | |||
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 B_{m}(\xi)}B_{m}(\xi) | |||
Property / Symbols used: coefficient (locally) / qualifier | |||
xml-id: C18.S15.XMD17.m1dec | |||
Property / Symbols used | |||
Property / Symbols used: Q11727 / rank | |||
Normal rank | |||
Property / Symbols used: Q11727 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}x | |||
Property / Symbols used: Q11727 / qualifier | |||
xml-id: C18.S2.XMD3.m1ddec |
Latest revision as of 15:39, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:18.15.E19 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LaguerrepolyL[\alpha]{n}@{\nu x}=\frac{e^{\frac{1}{2}\nu x}}{2^{\alpha}x^{\frac{1}{2}\alpha+\frac{1}{4}}(1-x)^{\frac{1}{4}}}\left(\xi^{\frac{1}{2}}\BesselJ{\alpha}@{\nu\xi}\sum_{m=0}^{M-1}\frac{A_{m}(\xi)}{\nu^{2m}}+\xi^{-\frac{1}{2}}\BesselJ{\alpha+1}@{\nu\xi}\sum_{m=0}^{M-1}\frac{B_{m}(\xi)}{\nu^{2m+1}}+\xi^{\frac{1}{2}}\envBesselJ{\alpha}@{\nu\xi}\bigO@{\frac{1}{\nu^{2M-1}}}\right),}
0 references
DLMF:18.15.E19
0 references
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 \bigO@{\NVar{x}}}
C2.S1.E3.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LaguerrepolyL[\NVar{\alpha}]{\NVar{n}}@{\NVar{x}}}
C18.S3.T1.t1.r12.m2aadec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \envBesselJ{\NVar{\nu}}@{\NVar{x}}}
C2.S8.SS4.p5.m2adec
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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
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C18.S1.XMD5.m1ldec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C18.S1.XMD6.m1ldec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \nu}
C18.S15.XMD14.m1adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \xi}
C18.S15.XMD15.m1adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle A_{m}(\xi)}
C18.S15.XMD16.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle B_{m}(\xi)}
C18.S15.XMD17.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C18.S2.XMD3.m1ddec
0 references