Results 61 to 70 of about 169,165 (205)
Sheffer sequences of polynomials and their applications [PDF]
, 2013 In this paper, we investigate some properties of several Sheffer sequences of several polynomials arising from umbral calculus.
Dolgy, Dmitry V. +3 more
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Barnes-type Daehee polynomials [PDF]
, 2014 In this paper, we consider Barnes-type Daehee polynomials of the first kind and of the second kind. From the properties of Sheffer sequences of these polynomials arising from umbral calculus, we derive new and interesting identities.Comment: 34 ...
Kim, Dae San +3 more
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Dual Numbers and Operational Umbral Methods
Axioms, 2019 Dual numbers and their higher-order version are important tools for numerical computations, and in particular for finite difference calculus. Based on the relevant algebraic rules and matrix realizations of dual numbers, we present a novel point of view,
Nicolas Behr +3 more
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A symbolic method for k-statistics [PDF]
, 2005 Trough the classical umbral calculus, we provide new, compact and easy to handle expressions of k-statistics, and more in general of U-statistics. In addition such a symbolic method can be naturally extended to multivariate case and to generalized k ...
Di Nardo, E., Senato, D.
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The theory of the umbral calculus III
Journal of Mathematical Analysis and Applications, 1982 Developpement du calcul symbolique des puissances et de la methode des coalgebres et des comodules associee. Application a l'etude des fonctions speciales classiques (hypergeometriques, de Laguerre-Sonine, d'Hermite-Weber, de Legendre et de Bessel)
openaire +4 more sources
Operator Ordering and Solution of Pseudo-Evolutionary Equations
Axioms, 2019 The solution of pseudo initial value differential equations, either ordinary or partial (including those of fractional nature), requires the development of adequate analytical methods, complementing those well established in the ordinary differential ...
Nicolas Behr +2 more
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Effect of Delta Operator on Umbral Composition in Finite Operator calculus [PDF]
, 2016 The main objective of this paper is to propose the matrix representation of umbral composition and investigate the effect of delta operator on umbral composition by using the sequential representation of delta operator in finite operator ...
Elango, C, Maheswaran, A
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Computer algebra and Umbral Calculus
Discrete Mathematics, 1998 AbstractRota's Umbral Calculus uses sequences of Sheffer polynomials to count certain combinatorial objects. We review this theory and some of its generalizations in light of our computer implementation (Maple V.3). A Mathematica version of this package is being developed in parallel.
A. Bottreau +2 more
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Representations of degenerate poly-Bernoulli polynomials
Journal of Inequalities and Applications, 2021 As is well known, poly-Bernoulli polynomials are defined in terms of polylogarithm functions. Recently, as degenerate versions of such functions and polynomials, degenerate polylogarithm functions were introduced and degenerate poly-Bernoulli polynomials
Taekyun Kim +3 more
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Degenerate r-Bell Polynomials Arising from Degenerate Normal Ordering
Journal of Mathematics, 2022 Recently, Kim-Kim introduced the degenerate r-Bell polynomials and investigated some results which are derived from umbral calculus. The aim of this paper is to study some properties of the degenerate r-Bell polynomials and numbers via boson operators ...
Taekyun Kim, Dae San Kim, Hye Kyung Kim
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