Please help me in proving

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

where$\displaystyle H_n $is the Hermite polynomial and$\displaystyle L_n^{(-1/2)}$ is the associated Laguerre polynomial

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- Mar 16th 2012, 01:59 AMSuvadiprelation between Hermite and associated laguerre
Please help me in proving

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

where$\displaystyle H_n $is the Hermite polynomial and$\displaystyle L_n^{(-1/2)}$ is the associated Laguerre polynomial