λ-q-Sheffer sequence and its applications [PDF]
Demonstratio Mathematica, 2022 Recently, Kim-Kim [J. Math. Anal. Appl. 493 (2021), no. 1] introduced the degenerate Sheffer sequence and λ-Sheffer sequence. The purpose of this article is to study λ-q-Sheffer sequence and the degenerate q-Sheffer sequence, which are derived from the ...
Kim Taekyun, Kim Dae San, Kim Hye Kyung
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Degenerate Lah–Bell polynomials arising from degenerate Sheffer sequences [PDF]
Advances in Difference Equations, 2020 Umbral calculus is one of the important methods for obtaining the symmetric identities for the degenerate version of special numbers and polynomials. Recently, Kim–Kim (J. Math. Anal. Appl.
Hye Kyung Kim
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The dual of number sequences, Riordan polynomials, and Sheffer polynomials [PDF]
Special Matrices, 2021 In this paper we introduce different families of numerical and polynomial sequences by using Riordan pseudo involutions and Sheffer polynomial sequences.
He Tian-Xiao, Ramírez José L.
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On compound operators constructed with binomial and Sheffer sequences
Journal of Numerical Analysis and Approximation Theory, 2003 In this note we consider a general compound approximation operator using binomial sequences and we give a representation for its corresponding remainder term. We also introduce a more general compound approximation operator using Sheffer sequences.
Maria Crăciun
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Approximation operators constructed by means of Sheffer sequences
Journal of Numerical Analysis and Approximation Theory, 2001 In this paper we introduce a class of positive linear operators by using the "umbral calculus", and we study some approximation properties of it. Let \( Q \) be a delta operator, and \(S\) an invertible shift invariant operator. For \(f\in C[0,1]\) we
Maria Crăciun
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Towards the Centenary of Sheffer Polynomial Sequences: Old and Recent Results [PDF]
Mathematics, 2022 Sheffer’s work is about to turn 100 years after its publication. In reporting this important event, we recall some interesting old and recent results, aware of the incompleteness of the wide existing literature. Particularly, we recall Sheffer’s approach,
Francesco Aldo Costabile +2 more
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Identities on Changhee Polynomials Arising from λ-Sheffer Sequences [PDF]
Complexity, 2022 In this paper, authors found a new and interesting identity between Changhee polynomials and some degenerate polynomials such as degenerate Bernoulli polynomials of the first and second kind, degenerate Euler polynomials, degenerate Daehee polynomials ...
Byung Moon Kim +3 more
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Appell and Sheffer sequences: on their characterizations through functionals and examples [PDF]
Comptes Rendus. Mathématique, 2021 The aim of this paper is to present a new simple recurrence for Appell and Sheffer sequences in terms of the linear functional that defines them, and to explain how this is equivalent to several well-known characterizations appearing in the literature ...
Carrillo, Sergio A., Hurtado, Miguel
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Identities of Degenerate Poly-Changhee Polynomials Arising from λ-Sheffer Sequences [PDF]
Journal of Mathematics, 2022 In the 1970s, Gian-Carlo Rota constructed the umbral calculus for investigating the properties of special functions, and by Kim-Kim, umbral calculus is generalized called λ-umbral calculus.
Sang Jo Yun, Jin-Woo Park
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Some identities arising from Sheffer sequences for the powers of Sheffer pairs under umbral composition [PDF]
Applied Mathematical Sciences, 2013 14 ...
Dae San Kim, Taekyun Kim
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