Formula:KLS:09.12:08

<< Formula:KLS:09.12:07

formula in Laguerre

Formula:KLS:09.12:09 >>

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

Proof

We ask users to provide proof(s), reference(s) to proof(s), or further clarification on the proof(s) in this space.

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

We ask users to provide relevant URL links in this space.

<< Formula:KLS:09.12:07

formula in Laguerre

Formula:KLS:09.12:09 >>