An integral identity involving the Hermite polynomials

The main purpose of this paper is using the elementary method and the properties of the power series to study an integral calculating problem involving the Hermite polynomials, then give an interesting identity. Keywords Hermite polynomials, integral calculation, identity, elementary method.
[sections]1. Introduction For any real number x, the polynomial solutions [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] of the Hermite equations [d.sup.2]y/[dx.sup.2] - 2x dy/dx + 2ny = 0 (n = [...]