Results 81 to 90 of about 144 (134)
Some comments on Rota's Umbral Calculus
Journal of Mathematical Analysis and Applications, 1980 AbstractRota's Umbral Calculus is put in the context of general Fourier analysis. Also, some shortcuts in the proofs are illustrated and a new characterization of sequences of binomial type is given. Finally it is shown that there are few (classical) orthogonal polynomials of binomial type.
openaire +1 more source
, 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. +2 more
openaire +4 more sources
Fully degenerate poly-Bernoulli numbers and polynomials
Open Mathematics, 2016 In this paper, we introduce the new fully degenerate poly-Bernoulli numbers and polynomials and inverstigate some properties of these polynomials and numbers.
Kim Taekyun, Kim Dae San, Seo Jong-Jin
doaj +1 more source
Congruences via umbral calculus
Notes on Number Theory and Discrete Mathematics, 2022 In this paper, we use the properties of the classical umbral calculus to give some congruences related to the Bell numbers and Bell polynomials. We also present a new congruence involving Appell polynomials with integer coefficients.
openaire +1 more source
Umbral Theory and the Algebra of Formal Power Series
AxiomsUmbral theory, formulated in its modern version by S. Roman and G. C. Rota, has been reconsidered in more recent times by G. Dattoli and collaborators with the aim of devising a working computational tool in the framework of special function theory ...
Roberto Ricci
doaj +1 more source
Cellular Signaling Networks Function as Generalized Wiener-Kolmogorov Filters to Suppress Noise
Physical Review X, 2014 Cellular signaling involves the transmission of environmental information through cascades of stochastic biochemical reactions, inevitably introducing noise that compromises signal fidelity.
Michael Hinczewski, D. Thirumalai
doaj +1 more source
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.
openaire +1 more source
Linear Approximation Processes Based on Binomial Polynomials
MathematicsThe purpose of the article is to highlight the role of binomial polynomials in the construction of classes of positive linear approximation sequences on Banach spaces.
Octavian Agratini, Maria Crăciun
doaj +1 more source
Korobov polynomials of the third kind and of the fourth kind. [PDF]
Springerplus, 2015 Kim T, Kim DS.
europepmc +1 more source