Formula:KLS:09.12:05

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formula in Laguerre

Formula:KLS:09.12:06 >>

${\displaystyle{\displaystyle{\displaystyle L^{\alpha}_{n}\left(x\right)=\frac{(-1)^{n}}{n!}{\widehat{L}}^{(\alpha)}_{n}\left(x\right){x}}}}$

Proof

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Symbols List

${\displaystyle{\displaystyle{\displaystyle L_{n}^{(\alpha)}}}}$ : Laguerre (or generalized Laguerre) polynomial : http://dlmf.nist.gov/18.3#T1.t1.r27
${\displaystyle{\displaystyle{\displaystyle{\widehat{L}}^{\alpha}_{n}}}}$ : monic Laguerre polynomial : http://drmf.wmflabs.org/wiki/Definition:monicLaguerre

Bibliography

Equation in Section 9.12 of KLS.

URL links

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<< Formula:KLS:09.12:04

formula in Laguerre

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