DLMF:18.15.E14 (Q5706): Difference between revisions

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Changed an Item: Add constraint
Changed an Item: Add constraint
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.m2adec

Revision as of 14:38, 2 January 2020

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DLMF:18.15.E14
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    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),}
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    DLMF:18.15.E14
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    Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle \bigO@{\NVar{x}}}
    C2.S1.E3.m2addec
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    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
    0 references