Formula:KLS:09.12:10: Difference between revisions
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Latest revision as of 07:36, 22 December 2019
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \expe^{-x}x^{\alpha}\Laguerre[\alpha]{n}@{x}=\frac{1}{n!}\left(\frac{d}{dx}\right)^n\left[\expe^{-x}x^{n+\alpha}\right] }}
Proof
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Symbols List
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \mathrm{e}}}
: the base of the natural logarithm : http://dlmf.nist.gov/4.2.E11
Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle L_n^{(\alpha)}}}
: Laguerre (or generalized Laguerre) polynomial : http://dlmf.nist.gov/18.3#T1.t1.r27
Bibliography
Equation in Section 9.12 of KLS.
URL links
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