DLMF:18.15.E14 (Q5706): Difference between revisions
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Changed an Item: Add constraint |
Changed an Item: Add constraint |
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(6 intermediate revisions by the same user not shown) | |||
Property / Symbols used | |||
Property / Symbols used: sine function / rank | |||
Normal rank | |||
Property / Symbols used: sine function / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}\sin@@{\NVar{z}} | |||
Property / Symbols used: sine function / qualifier | |||
xml-id: C4.S14.E1.m2aedec | |||
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.m1jdec | |||
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.m1idec | |||
Property / Symbols used | |||
Property / Symbols used: DLMF:18.15.E15 / rank | |||
Normal rank | |||
Property / Symbols used: DLMF:18.15.E15 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \theta_{n}^{(\alpha)}(x)}\theta_{n}^{(\alpha)}(x) | |||
Property / Symbols used: DLMF:18.15.E15 / qualifier | |||
xml-id: C18.S15.XMD11.m1dec | |||
Property / Symbols used | |||
Property / Symbols used: Q11755 / rank | |||
Normal rank | |||
Property / Symbols used: Q11755 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a_{m}(x)}a_{m}(x) | |||
Property / Symbols used: Q11755 / qualifier | |||
xml-id: C18.S15.XMD12.m1dec | |||
Property / Symbols used | |||
Property / Symbols used: Q11756 / rank | |||
Normal rank | |||
Property / Symbols used: Q11756 / qualifier | |||
Defining formula: Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b_{m}(x)}b_{m}(x) | |||
Property / Symbols used: Q11756 / qualifier | |||
xml-id: C18.S15.XMD13.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.m1dec |
Latest revision as of 14:39, 2 January 2020
No description defined
Language | Label | Description | Also known as |
---|---|---|---|
English | DLMF:18.15.E14 |
No description defined |
Statements
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \LaguerrepolyL[\alpha]{n}@{x}=\frac{n^{\frac{1}{2}\alpha-\frac{1}{4}}e^{\frac{1}{2}x}}{\pi^{\frac{1}{2}}x^{\frac{1}{2}\alpha+\frac{1}{4}}}\left(\cos@@{\theta_{n}^{(\alpha)}(x)}\left(\sum_{m=0}^{M-1}\frac{a_{m}(x)}{n^{\frac{1}{2}m}}+\bigO@{\frac{1}{n^{\frac{1}{2}M}}}\right)+\sin@@{\theta_{n}^{(\alpha)}(x)}\left(\sum_{m=1}^{M-1}\frac{b_{m}(x)}{n^{\frac{1}{2}m}}+\bigO@{\frac{1}{n^{\frac{1}{2}M}}}\right)\right),}
0 references
DLMF:18.15.E14
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
C2.S1.E3.m2addec
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.m2adec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cpi}
C3.S12.E1.m2afdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \cos@@{\NVar{z}}}
C4.S14.E2.m2aedec
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \expe}
C4.S2.E11.m2adec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \sin@@{\NVar{z}}}
C4.S14.E1.m2aedec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle m}
C18.S1.XMD5.m1jdec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle n}
C18.S1.XMD6.m1idec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \theta_{n}^{(\alpha)}(x)}
C18.S15.XMD11.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle a_{m}(x)}
C18.S15.XMD12.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle b_{m}(x)}
C18.S15.XMD13.m1dec
0 references
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle x}
C18.S2.XMD3.m1dec
0 references