SOME BILINEAR GENERATING RELATIONS INVOLVING CLASSICAL HERMITE POLYNOMIALS VIA MEHLER’S FORMULA

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Abstract

In this paper, using series decomposition technique in Mehler’s formula, we obtain some bilinear generating relations associated with classical Hermite’s polynomials of even and odd degree.

Keywords and Phrases

Mehler’s formula, Classical Hermite’s polynomials, Decomposition technique.

A.M.S. subject classification

Primary: 33C45; Secondary: 33C05.

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