Hermite's differential equation y" - 2.xy' + 2ny = 0, n = 0, 1, 2, .. ., has polynomial

Chapter 12, Problem 10

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Hermite's differential equation y" - 2.xy' + 2ny = 0, n = 0, 1, 2, .. ., has polynomial solutions Hn(x). Put the equation in self-adjoint form and give an orthogonality relation.

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