Results 91 to 100 of about 3,137 (142)
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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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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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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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.
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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
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Umbral calculus, binomial enumeration and chromatic polynomials [PDF]
Transactions of the American Mathematical Society, 1988 We develop the concept of partition categories, in order to extend the Mullin-Rota theory of binomial enumeration, and simultaneously to provide a natural setting for recent applications of the Roman-Rota umbral calculus to computations in algebraic topology. As a further application, we describe a generalisation of the chromatic polynomial of a graph.
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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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Umbral calculus via integral transforms
Journal of Mathematical Analysis and Applications, 1988 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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