Relation between Hermite and associated Laguerre

Member

$$\displaystyle H_{2n}(x)=(-1)^n2^{2n}n!L_n^{-\frac{1}{2}}(x^2)$$

where $$\displaystyle H_n$$ is the Hermite polynomial and $$\displaystyle L_n^{-\frac{1}{2}}$$ is the associated Laguerre polynomial.

Last edited by a moderator: