Determinantal approach to certain mixed special polynomials related to Gould–Hopper polynomials

In this article, the Gould–Hopper–Sheffer polynomials are introduced by means of generating function and determinantal definition. Certain properties of these polynomials are established and operational relations between the Sheffer and Gould–Hopper–Sheffer polynomials are derived. Examples of some members belonging to the Gould–Hopper–Sheffer and Gould–Hopper–Appell polynomials families are considered and the corresponding numbers for certain polynomials are also obtained.