Formula:KLS:09.12:27

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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(x^\alpha \Laguerre[\alpha]{n}@{x}\right)= (n+\alpha) x^{\alpha-1} \Laguerre[\alpha-1]{n}@{x},\qquad \left(x\frac d{dx}+\alpha\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 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.

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