Work

Truncated-Exponential-Based General-Appell Polynomials

Year: 2025

Type: article

Abstract: In this paper, a new and general form of truncated-exponential-based general-Appell polynomials is introduced using the two-variable general-Appell polynomials. For this new polynomial family, we present an explicit representation, recurrence relation, shift operators, differential equation, determinant representation, and some other properties. Finally, two special cases of this family, truncated-exponential-based Hermite-type and truncated-exponential-based Laguerre–Frobenius Euler polynomials, are introduced and their corresponding properties are obtained.

Source: Mathematics

DOI: 10.3390/math13081266

Authors: Zeynep Özat, Bayram Çekim, Mehmet Ali Özarslan, Francesco Aldo Costabile

Institutions: Gazi University, Eastern Mediterranean University, University of Calabria

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W4409408190

FWCI: 14.96

Cites: 26

Cited by: 8

Related to: 10