Results 31 to 40 of about 166,207 (201)

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, Juan Malumbres   +2 more
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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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Some identities of polynomials arising from umbral calculus [PDF]

arXiv, 2012
In this paper, we study some properties of associated sequaences in umbral calculus. From these properties, we derive new and interesting identities of several kinds of polynomials.
Dae San Kim, Taekyun Kim, Seog-Hoon Rim
arxiv   +3 more sources

A note on Fermionic p-adic integrals on Zp and umbral calculus [PDF]

arXiv, 2012
In this paper we study some properties of the fermionic p-adic integrals on Zp arising from the umbral ...
Taekyun Kim, Dae San Kim, Sagtae Jeong, Seog-Hoon Rim   +3 more
arxiv   +3 more sources

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.
Serkan Aracı, Mehmet Açíkgöz, Toka Diagana, H. M. Srivastava   +3 more
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More on the Bernoulli and Taylor Formula for Extended Umbral Calculus [PDF]

Advances in Applied Clifford Algebras Volume 16, Number 1,(2006) 29-39, 2008
One delivers here the extended Bernoulli and Taylor formula of a new sort with the rest term of the Cauchy type recently derived by the author in the case of the so called $\psi$-difference calculus which constitutes the representative for the purpose case of extended umbral calculus.
A. K. Kwaśniewski
arxiv   +3 more sources

The umbral calculus

Advances in Mathematics, 1978
Steven Roman, Gian‐Carlo Rota
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Apostol-Euler polynomials arising from umbral calculus [PDF]

arXiv, 2013
In this paper, by using the orthogonality type as defined in the umbral calculus, we derive explicit formula for several well known polynomials as a linear combination of the Apostol-Euler polynomials.
Taekyun Kim, Toufik Mansour, Seog-Hoon Rim   +2 more
arxiv   +3 more sources

Universal Constructions in Umbral Calculus [PDF]

, 1998
Modern umbral calculus is steadily approaching maturity, as applications develop in several areas of mathematics. To maximize this utility it is important to work in the most general (as opposed to the most abstract) setting.
Nigel Ray
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