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= e-*/2 H,(x) into (22.1) to show that the differential equation Substitute yn satisfied by Hn(x) is (22.14). Hermite Functions The differential equation for

= e-*/2 H,(x) into (22.1) to show that the differential equation Substitute yn satisfied by Hn(x) is (22.14). Hermite Functions The differential equation for Hermite functions is (22.1) -(2n+1)yns n = 0, 1, 2, ... The Hermite polynomials satisfy the differential equation (Problem 6): (22.14) y" 2xy + 2ny = 0. Hermite equation

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