Exploring a Novel Family of Appell Polynomials Associated with Gould–Hopper–Fubini Polynomials

In this paper, we establish a new hybrid class of special polynomials, the Gould–Hopper–Fubini-based Appell polynomials. Using the monomiality principle, we derive their generating function and explore related properties and identities. We also investigate symmetry identities and obtain a determinant representation for these polynomials. Finally, we present and discuss results for several special cases of this family and support the derived results with computational studies and visual representations.