Operational perspective on degenerate Gould–Hopper–Fubini polynomials using fractional calculus
Abstract
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.
Fields of Study & Subjects
Fractional Differential Equations Solutions
Mathematical functions and polynomials
Advanced Mathematical Identities
Publication details
- Journal / source
- Georgian Mathematical Journal
- Publisher
- Walter de Gruyter GmbH
- Volume
- 33
- Issue
- 5
- Pages
- 841-855
- Publication date
- 20 April 2026
- Language
- EN