Formula:KLS:09.12:29
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Failed to parse (LaTeXML (experimental; uses MathML): Invalid response ("") from server "http://latexml:8080/convert/":): {\displaystyle {\displaystyle \frac d{dx}\left(\expe^{-x} \Laguerre[\alpha]{n}@{x}\right)= -\expe^{-x} \Laguerre[\alpha+1]{n}@{x},\qquad \left(\frac d{dx}-1\right)\Laguerre[\alpha]{n}@{x} }}
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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