Some New Matrix Formulas Related to Hermite Matrix Polynomials Theory
نویسنده
چکیده
In this paper an integral representation for the Hermite matrix polynomials is given. By means of the exact computation of certain matrix integrals and the integral representation of Hermite matrix polynomials, a formula for the generating function of the product of Her-mite matrix polynomials is obtained. Both the integral representation of the Hermite matrix polynomials and the formula for the generating function of the product of the Hermite matrix polynomials coincide in the scalar case with the well-known formulas for the classical Hermite polynomials.
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