Results 121 to 130 of about 166,207 (201)
Umbral calculus associated with Bernoulli polynomials [PDF]
arXiv, 2012 Recently, D. S. Kim and T. Kim have studied applications of um- bral calculus associated with p-adic invariant integrals on Zp (see [6]). In this paper, we investigate some interesting properties arising from umbral calculus. These properties are useful in deriving some identities of Bernoulli polynomials.
arxiv
An umbral setting for cumulants and factorial moments [PDF]
arXiv, 2004 We provide an algebraic setting for cumulants and factorial moments through the classical umbral calculus. Main tools are the compositional inverse of the unity umbra, connected with the logarithmic power series, and a new umbra here introduced, the singleton umbra.
arxiv
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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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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Formal calculus and umbral calculus [PDF]
Electronic Journal of Combinatorics, 17(1) (2010) R95, 2009 In this paper we use the viewpoint of the formal calculus underlying vertex operator algebra theory to study certain aspects of the classical umbral calculus and we introduce and study certain operators generalizing the classical umbral shifts. We begin by calculating the exponential generating function of the higher derivatives of a composite function,
arxiv
Umbral Calculus and Cancellative Semigroup Algebras [PDF]
Zeitschrift f\"ur Analysis und ihre Anwendungen, 19(2000), no. 2,
pp. 315--338, 1997 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 semigroup, their convolution algebras, and tokens between them provides a common language for description of ...
arxiv
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
doaj +1 more source
Study of Degenerate Poly-Bernoulli Polynomials by λ-Umbral Calculus
Computer Modeling in Engineering & Sciences, 2021 L. Jang +4 more
semanticscholar +1 more source
Almansi Theorems in Umbral Clifford Analysis and the Quantum Harmonic Oscillator [PDF]
arXiv, 2009 We introduce the Umbral calculus into Clifford analysis starting from the abstract of the Heisenberg commutation relation $[\frac{d}{dx}, x] = {\bf id}$. The Umbral Clifford analysis provides an effective framework in continuity and discreteness. In this paper we consider functions defined in a star-like domain $\Omega \subset \BR^n$ with values in ...
arxiv