Formula:KLS:09.12:06

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formula in Laguerre

Formula:KLS:09.12:07 >>

${\displaystyle{\displaystyle{\displaystyle xy^{\prime\prime}(x)+(\alpha+1-x)y^{\prime}(x)+ny(x)=0}}}$

Substitution(s)

${\displaystyle{\displaystyle{\displaystyle y(x)=L^{\alpha}_{n}\left(x\right)}}}$

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:09.12:05

formula in Laguerre

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