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Relation between Hermite and associated Laguerre


Feb 21, 2013
Please help me in proving the following expression

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

where \(\displaystyle H_n\) is the Hermite polynomial and \(\displaystyle L_n^{-\frac{1}{2}}\) is the associated Laguerre polynomial.
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Staff member
Feb 24, 2012
Hello suvadip,

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