In this article, we introduce a new family of parametric U-Charlier-Poisson type polynomials, denoted by G [2+J] n (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.
New Parametric Polynomials of U-Charlier-Poisson Type: Properties and Szász-Type Operators Including These Polynomials
Cesarano Clemente
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2025-01-01
Abstract
In this article, we introduce a new family of parametric U-Charlier-Poisson type polynomials, denoted by G [2+J] n (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.File in questo prodotto:
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