Operational methods and Laguerre–Gould Hopper polynomials

摘要

In this paper, the authors introduce the Laguerre–Gould Hopper polynomials by combining the operational methods with the principle of monomiality. Generating function, series definition, differential equation, and certain other properties of Laguerre–Gould Hopper polynomials are derived. Further, operational representations of these polynomials are established, which are used to get integral representations and expansion formulae for these polynomials.