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
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