Work

New Parametric Polynomials of U-Charlier-Poisson Type: Properties and Szász-Type Operators Including These Polynomials

Year: 2025

Type: article

Abstract: In this article, we introduce a new family of parametric U-Charlier-Poisson type polynomials, denoted by Gn[2+J] (x; α, β, λ). Then, some properties are studied, such as its explicit representation, the orthogonality relationship, and its connection with the derivative of the harmonic function. Subsequently, Szász-type operators are applied to the new family of polynomials to study convergence properties using Korovkin's theorem.

Source: Contemporary Mathematics

DOI: 10.37256/cm.6420257391

Authors: Cesarano Clemente, Alejandro Urieles, Javier Villa, María José Ortega

Institutions: UniNettuno University, University of Atlántico, University of the Coast

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4413671267

FWCI: 1.924

Cites:

Cited by: 1

Related to: 10