Work

On discrete Appell polynomials of Apostol-Bernoulli-type polynomials and their patterns of distribution of zeros

Year: 2025

Type: article

Abstract: This study introduces a new category of discrete Appell polynomials derived from Apostol-Bernoulli-type polynomials. We derive their generating function, provide explicit formulae, and represent them in matrix form to enhance computational efficiency and explore deeper algebraic properties. Using algebraic structure and recurrence relations to emphasize these recurrences, we develop the principle of monomiality for these polynomials. The study also approximates the roots of Apostol-Bernoulli-type discrete polynomials using numerical methods, underscoring their relevance in various applications. The paper concludes by discussing potential extensions and the broader impact of this work in combinatorial mathematics and numerical analysis.

Source: Journal of Mathematics and Computer Science

DOI: 10.22436/jmcs.039.02.07

Authors: M.-F. Heredia-Moyano, J. Hernandez, W. A. Khan, W. Ramirez, Sh. A. Wani

Institutions: UniNettuno University, Universidad Autónoma de Santo Domingo, Prince Mohammad bin Fahd University, University of the Coast

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Fondo Nacional de Innovación y Desarrollo Científico–Tecnológico

OpenAlex ID: W4409230552

FWCI: 7.695

Cites:

Cited by: 4

Related to: 10