Results 111 to 120 of about 157,023 (195)
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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Can Umbral and q-calculus be merged?
, 2019 The $q$-calculus is reformulated in terms of the umbral calculus and of the associated operational formalism. We show that new and interesting elements emerge from such a restyling. The proposed technique is applied to a different formulations of $q$ special functions, to the derivation of integrals involving ordinary and $q$-functions and to the study
G. Dattoli +3 more
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The classical umbral calculus and the flow of a Drinfeld module
, 2016 The notion of a flow appears in many areas of mathematics and physics; for example, it is one of the fundamental notions in studying ordinary differential equations. Classically a flow on a set X is a group action of the additive group of the set of real
Nguyen Ngoc Dong Quan
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A set-theoretic interpretation of the umbral calculus
Computers & Mathematics with Applications, 2001 AbstractThrough the notion of enriched species, we develop a bijective calculus set-theoretic counterpart of the theory of binomial enumeration.
SENATO PULLANO, Domenico, VENEZIA A.
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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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Extensions of umbral calculus II: double delta operators, Leibniz extensions and Hattori-Stong theorems [PDF]
, 2001 Francis Clarke, John Hunton, Nigel Ray
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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
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Study of Degenerate Poly-Bernoulli Polynomials by λ-Umbral Calculus
Computer Modeling in Engineering & Sciences, 2021 L. Jang +4 more
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In this paper, we explore the effectiveness of almost purely operational methods in the study of umbral calculus. To accomplish this goal, we systematically reconstruct the theory operationally, offering new proofs and results throughout. Our approach is applied to the study of invertible power series, where we notably offer a concise two-line proof of
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Korobov polynomials of the third kind and of the fourth kind. [PDF]
Springerplus, 2015 Kim T, Kim DS.
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