Formula:KLS:09.12:38

<< Formula:KLS:09.12:37

formula in Laguerre

Formula:KLS:09.13:01 >>

${\displaystyle{\displaystyle{\displaystyle\left(\frac{d^{2}}{dx^{2}}+\frac{2\alpha+1}{x}\frac{d}{dx}\right)L^{\alpha}_{n}\left(x^{2}\right)=-4(n+\alpha)L^{\alpha}_{n-1}\left(x^{2}\right)}}}$

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

Bibliography

Equation in Section 9.12 of KLS.

URL links

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<< Formula:KLS:09.12:37

formula in Laguerre

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