Results 91 to 100 of about 3,308 (188)
A new discretization of the Euler equation via the finite operator theory [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe propose a novel discretization procedure for the classical Euler equation, based on the theory of Galois differential algebras and the finite operator calculus developed by G.C. Rota and collaborators.
Miguel A. Rodríguez +1 more
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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.
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Umbral Interpolation: A Survey
MathematicsA survey on recent umbral polynomial interpolation is presented. Some new results are given, following a matrix-determinant approach. Some theoretical and numerical examples are provided.
Francesco Aldo Costabile +2 more
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Ultrametric umbral calculus in characteristic $p$
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximation operators constructed by means of Sheffer sequences
Journal of Numerical Analysis and Approximation Theory, 2001 In this paper we introduce a class of positive linear operators by using the "umbral calculus", and we study some approximation properties of it. Let \( Q \) be a delta operator, and \(S\) an invertible shift invariant operator. For \(f\in C[0,1]\) we
Maria Crăciun
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The Umbral Calculus of Symmetric Functions
Advances in Mathematics, 1996 The author develops an umbral calculus for the symmetric functions in an infinite number of variables. This umbral calculus is analogous to Roman-Rota umbral calculus for polynomials in one variable, see \textit{S. M. Roman} and \textit{G.-C. Rota} [Adv. Math. 27, 95-188 (1978; Zbl 0375.05007)].
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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).
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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
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Baxter Algebras and the Umbral Calculus
Advances in Applied Mathematics, 2001 This papers aims to unite two mathematical areas championed by G.-C. Rota: umbral calculus and Baxter algebras. The umbral calculus refers to algebraic combinatorics of sequences of polynomials of binomial type and other related sequences. Rota showed how this is encapsulated by a certain `umbral algebra' consisting of linear functionals on these ...
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Umbral calculus and Euler polynomials
, 2012 In this paper, we study some properties of Euler polynomials arising from umbral calculus. Finally, we give some interesting identities of Euler polynomials using our results. Recently, Dere and Simsek have studied umbral calculus related to special polynomials (see[6]).
Kim, Dae San +3 more
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