MHB Relation between Hermite and associated Laguerre

[Suvadip]

Please help me in proving the following expression

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

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

 

[MarkFL]

Hello suvadip,

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