Operational methods and Laguerre-Gould Hopper polynomials

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.