Abstract This paper serves as a bridge between the fractional and operational approaches to construct a new type of trivariate degenerate Gould–Hopper–Fubini polynomials. It presents the method of evaluating operational results, including important identities, differential operators, and operational representations, which serve as a useful tool for generating fractional-order generalized degenerate Gould–Hopper–Fubini polynomials by exploiting fractional operators. This approach provides a broad platform for exploring the study of generalized special polynomials of fractional order. Additionally, explicit series representations and summation formulas for these polynomials are derived.
Riyasat et al. (Mon,) studied this question.