Results 21 to 30 of about 157,023 (195)

Applications of the classical umbral calculus [PDF]

Algebra Universalis, 2003
34 ...
Ira M. Gessel
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Maple umbral calculus package

, 1995
We are developing a Maple package of functions related to Rota's Umbral Calculus. A Mathematica version of this package is being developed in parallel.
Bottreau, A., Di Bucchianico, A., Loeb, D.E.   +2 more
openaire   +6 more sources

Baxter Algebras and the Umbral Calculus

Advances in Applied Mathematics, 2001
AbstractWe apply recent constructions of free Baxter algebras to the study of the umbral calculus. We give a characterization of the umbral calculus in terms of the Baxter algebra. This characterization leads to a natural generalization of the umbral calculus that includes the classical umbral calculus in a family of λ-umbral calculi parameterized by λ
Li Guo
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Umbral calculus via integral transforms

Journal of Mathematical Analysis and Applications, 1988
AbstractWe present some standard results in the theory of polynomials of binomial type from a different point of view. This approach is related to a theory of representations of canonical transformations.
Henryk Gzyl
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Sheffer-Dunkl Sequences Via Umbral Calculus in the Dunkl Context

Bulletin of the Malaysian Mathematical Sciences Society
Umbral 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.
Alejandro Gil Asensi, Judit Mínguez Ceniceros, J. Varona   +2 more
semanticscholar   +2 more sources

Umbral Calculus and Cancellative Semigroup Algebras

Zeitschrift für Analysis und ihre Anwendungen, 2000
We describe some connections between three different fields: combinatorics (umbral calculus), functional analysis (linear functionals and operators) and harmonic analysis (convolutions on group-like structures). Systematic usage of cancellative semigroups, their convolution algebras, and tokens
Vladimir V. Kisil
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A novel approach for obtaining new identities for the lambda extension of q- Euler polynomials arising from the q-umbral calculus

, 2017
In this article, a new q-generalization of the Apostol-Euler polynomials is introduced using the usual q-exponential function. We make use of such a generalization to derive several properties arising from the q-umbral calculus.
S. Araci, M. Acikgoz, T. Diagana, H. Srivastava   +3 more
semanticscholar   +3 more sources

Baxter Algebras and Umbral Calculus

, 2004
We apply recent constructions of free Baxter algebras to the study of the umbral calculus. We give a characterization of the umbral calculus in terms of Baxter algebra. This characterization leads to a natural generalization of the umbral calculus that include the classical umbral calculus in a family of $ $-umbral calculi parameterized by $ $ in the
Li Guo
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The umbral calculus

Advances in Mathematics, 1978
Steven Roman, Gian‐Carlo Rota
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Umbral calculus in Ore extensions

Journal of Pure and Applied Algebra, 2020
Abstract The aim of the paper is to show the existence of some ingredients for an umbral calculus on some Ore extensions, in a manner analogous to Rota's classical umbral calculus which deals with a univariate polynomial ring on a field of characteristic zero.
Chahrazed Benouaret, A. Salinier
semanticscholar   +5 more sources