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

Authors

  • Cesarano Clemente Section of Mathematics, UniNettuno University, Corso Vittorio Emanuele II, 39, 00186 Rome, Italy
  • Alejandro Urieles Mathematics Program, University of the Atlantic, Km 7 Via Pto. Colombia, Barranquilla, Colombia
  • Javier Villa Mathematics Program, University of the Atlantic, Km 7 Via Pto. Colombia, Barranquilla, Colombia
  • María José Ortega Department of Natural and Exact Sciences, University of the Coast, Barranquilla, Colombia

DOI:

https://doi.org/10.37256/cm.6420257391

Keywords:

Charlier polynomials, Korovkin theorem, Brenke type operators

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.

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Published

2025-08-25

Versions

Issue

Contemporary Mathematics, Volume 6 Issue 4 (2025), 3846-5367

Section

Research Article

License

Copyright (c) 2025 Cesarano Clemente, Alejandro Urieles, Javier Villa, María José Ortega

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

1.
New Parametric Polynomials of U-Charlier-Poisson Type: Properties and Szász-Type Operators Including These Polynomials. Contemp. Math. [Internet]. 2025 Aug. 25 [cited 2025 Dec. 24];6(4):5293-316. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/7391