Certain properties of the Laguerre–Sheffer polynomials

Approximation by a power series summability method of Kantorovich type Szász operators including Sheffer polynomials

Advances in Difference Equations ◽

10.1186/s13662-021-03326-8 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Valdete Loku ◽

Naim L. Braha ◽

Toufik Mansour ◽

M. Mursaleen

Keyword(s):

Power Series ◽

Summability Method ◽

Approximation Properties ◽

Type Result ◽

Szász Operators ◽

Sheffer Polynomials

AbstractThe main purpose of this paper is to use a power series summability method to study some approximation properties of Kantorovich type Szász–Mirakyan operators including Sheffer polynomials. We also establish Voronovskaya type result.

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Approximation by Chlodowsky variant of Szász operators involving Sheffer polynomials

Advances in Operator Theory ◽

10.15352/aot.1804-1350 ◽

2019 ◽

Vol 4 (2) ◽

pp. 321-341

Author(s):

Khursheed J‎. ‎Ansari ◽

M. ‎Mursaleen ◽

A. H. ‎Al-Abeid

Keyword(s):

Szász Operators ◽

Sheffer Polynomials

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11. Generalized Sheffer Polynomials

Contemporary Mathematics - The Finite Calculus Associated with Bessel Functions ◽

10.1090/conm/075/11 ◽

1988 ◽

pp. 59-72

Author(s):

Frank M. Cholewinski

Keyword(s):

Sheffer Polynomials

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Bell–Sheffer exponential polynomials of the second kind

Georgian Mathematical Journal ◽

10.1515/gmj-2020-2055 ◽

2020 ◽

Vol 0 (0) ◽

Author(s):

Pierpaolo Natalini ◽

Paolo Emilio Ricci

Keyword(s):

Higher Order ◽

Bell Numbers ◽

Integer Sequences ◽

Exponential Polynomials ◽

Sheffer Polynomials

AbstractIn recent papers, new sets of Sheffer and Brenke polynomials based on higher order Bell numbers and several integer sequences related to them have been studied. In the present paper, new sets of Bell–Sheffer polynomials are introduced. Connections with Bell numbers are shown.

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