Results 11 to 20 of about 509 (161)
Sheffer-Dunkl Sequences Via Umbral Calculus in the Dunkl Context [PDF]
Bulletin of the Malaysian Mathematical Sciences SocietyAbstractUmbral calculus refers to a series of techniques that can be used to prove some polynomial formulas. Nowadays, it mostly involves the study of Sheffer sequences. In this paper, we focus on a generalization of umbral calculus in a Dunkl context (that we call Dunkl-umbral calculus).
Juan Luis Varona +2 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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Study of degenerate derangement polynomials by λ-umbral calculus [PDF]
Demonstratio Mathematica, 2023 In the 1970s, Rota began to build completely rigid foundations for the theory of umbral calculus based on relatively modern ideas of linear functions and linear operators.
Yun Sang Jo, Park Jin-Woo
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Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences [PDF]
ISRN Discrete Mathematics, 2011 We derive a differential equation and recursive formulas of Sheffer polynomial sequences utilizing matrix algebra. These formulas provide the defining characteristics of, and the means to compute, the Sheffer polynomial sequences. The tools we use are well-known Pascal functional and Wronskian matrices.
Youn, Heekyung, Yang, Yongzhi
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New Bell–Sheffer Polynomial Sets [PDF]
Axioms, 2018 In 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. The method used in previous articles, and even in the present one, traces back to preceding
Pierpaolo Natalini, Paolo Emilio Ricci
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Recurrence relations for the Sheffer sequences [PDF]
Linear Algebra and its Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yang, Sheng-liang
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On multivariable Sheffer sequences [PDF]
Journal of Mathematical Analysis and Applications, 1979 Let {Bn(x)}~=,, be a polynomial sequence which is simple, one where each B,(x) is of degree precisely 71.
James Ward Brown, Brown, James Ward
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On combinatorial properties and the zero distribution of certain Sheffer sequences
Journal of Mathematical Analysis and Applications, 2022 We present combinatorial and analytical results concerning a Sheffer sequence with a generating function of the form $G(x,z)=Q(z)^{x}Q(-z)^{1-x}$, where $Q$ is a quadratic polynomial with real zeros. By using the properties of Riordan matrices we address combinatorial properties and interpretations of our Sheffer sequence of polynomials and their ...
Khang Tran +2 more
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The Iterated Logarithmic Algebra. II. Sheffer sequences [PDF]
Journal of Mathematical Analysis and Applications, 1991 An extension of the theory of the Iterated Logarithmic Algebra gives the logarithmic analog of a Sheffer or Appell sequence of polynomials. This leads to several examples including Stirling's formula and a logarithmic version of the Euler-MacLaurin summation formula.
Daniel E Loeb
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Two characterizations of Sheffer-Dunkl sequences of polynomials [PDF]
Numerical AlgorithmsAbstract Sheffer polynomials can be characterized using different Stieltjes integrals. These families of polynomials have been recently extended to the Dunkl context. In this way some classical operators as the derivative operator or the difference operator are replaced as analogous operators in the Dunkl universe.
Alejandro Gil Asensi +1 more
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