3. Hermite polynomials Hn (2) can be defined by the generating function Hn(x)t" Σ n! G(t, x) = e-+*+2tx n=0 (a) Use the

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3. Hermite polynomials Hn (2) can be defined by the generating function Hn(x)t" Σ n! G(t, x) = e-+*+2tx n=0 (a) Use the

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3. Hermite polynomials Hn (2) can be defined by the generating function Hn(x)t" Σ n! G(t, x) = e-+*+2tx n=0 (a) Use the generating function to derive the relationships (x) = 2nHn-1(2), Hn+1(x) = 2xHn (2) – 2nHn-1(x). = -1 =
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