Using the generating function, establish the relation between Hn (x) and Hn (-x).
To establish the relation between \( H_n(x) \) and \( H_n(-x) \) using the generating function, let's consider the standard generating function for Hermite polynomials: \[ G(x,t) = e^{2xt - t^2} = \sum_{n=0}^{\infty} H_n(x) \frac{t^n}{n!}. \] ### ________ _________ _________ _________ ____ _________ ______ _________ ____ ____ __________.
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