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

Mathematics 2026 Open access

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Authors: Fakhredine Gassem, Abdulghani Muhyi, Hadeel Arwah, Habeeb Ibrahim, Khaled Aldwoah, Amer Alsulami, Mohammed Nour A. Rabih
DOI: 10.3390/math14050791
Cited by: 0

Abstract

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.

Fields of Study & Subjects

Mathematical functions and polynomials Advanced Combinatorial Mathematics Advanced Mathematical Identities

Publication details

Journal / source
Mathematics
Volume
14
Issue
5
Pages
791–791
Publication date
26 February 2026
Language
EN