Results 1 to 10 of about 509 (161)
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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A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types [PDF]
Mathematics, 2019 We study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial ...
Dojin Kim
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Self-inverse Sheffer sequences and Riordan involutions [PDF]
Discrete Applied Mathematics, 2011 In this short note we focus on self-inverse Sheffer sequences and involutions in the Riordan group. We translate the results of Brown and Kuczma on self-inverse sequences of Sheffer polynomials to describe all involutions in the Riordan group.
Ana Luzón, Manuel Moron
exaly +4 more sources
On compound operators constructed with binomial and Sheffer sequences [PDF]
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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Finding Determinant Forms of Certain Hybrid Sheffer Sequences [PDF]
Mathematics, 2019 In this article, the integral transform is used to introduce a new family of extended hybrid Sheffer sequences via generating functions and operational rules. The determinant forms and other properties of these sequences are established using a matrix approach.
Mumtaz Riyasat +2 more
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λ-q-Sheffer sequence and its applications
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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Identities on Bell polynomials and Sheffer sequences
Discrete Mathematics, 2009 The paper gives two new characterizations of Sheffer sequences in terms of exponential partial Bell polynomials. This yields connection between Sheffer sequences and Riordan arrays. Several general identities are established for Bell polynomials and Sheffer sequences, which specialize to elegant identities for associated sequences and cross sequences.
Weiping Wang
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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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Product of Sheffer sequences: properties and examples
Tbilisi Mathematical Journal, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mumtaz Riyasat, Subuhi Khan
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