Results 11 to 20 of about 416 (164)
Computer algebra and Umbral Calculus [PDF]
Discrete Mathematics, 1998 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anne Bottreau +2 more
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More on the umbral calculus, with emphasis on the q-umbral calculus [PDF]
Journal of Mathematical Analysis and Applications, 1985 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roman, Steven
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Journal of Mathematical Analysis and Applications, 1981 AbstractAn algebraic setting for the Roman-Rota umbral calculus is introduced. It is shown how many of the umbral calculus results follow simply by introducing a comultiplication map and requiring it to be an algebra map. The same approach is used to construct a q-umbral calculus.
Ihrig, Edwin C, Ismail, Mourad E.H
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Umbral calculus in positive characteristic [PDF]
Advances in Applied Mathematics, 2005 An umbral calculus over local fields of positive characteristic is developed on the basis of a relation of binomial type satisfied by the Carlitz polynomials. Orthonormal bases in the space of continuous $\mathbb F_q$-linear functions are constructed.
Kochubei, Anatoly N.
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On Degenerate Poly-Daehee Polynomials Arising from Lambda-Umbral Calculus [PDF]
Journal of Mathematics, 2023 In this article, we derived various identities between the degenerate poly-Daehee polynomials and some special polynomials by using λ-umbral calculus by finding the coefficients when expressing degenerate poly-Daehee polynomials as a linear combination ...
Sang Jo Yun, Jin-Woo Park
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Applications of Umbral Calculus Associated with p-Adic Invariant Integrals on Zp [PDF]
Abstract and Applied Analysis, 2012 Recently, Dere and Simsek (2012) have studied the applications of umbral algebra to some special functions. In this paper, we investigate some properties of umbral calculus associated with p-adic invariant integrals on Zp.
Dae San Kim, Taekyun Kim
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Integration in the umbral calculus [PDF]
Journal of Mathematical Analysis and Applications, 1980 AbstractThe adjointness between “multiplication” and “derivation” is a recurrent theme in Rota's umbral calculus. The subject of this paper is the companion adjointness between “division” and “integration.”
Yang, Kung-Wei
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Frontiers in Physics, 2013 In recent years the umbral calculus has emerged from the shadows to provide an elegant correspondence framework that automatically gives systematic solutions of ubiquitous difference equations --- discretized versions of the differential cornerstones ...
Thomas L Curtright, Cosmas K Zachos
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Can Umbral and q-calculus be merged? [PDF]
, 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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Dual Numbers and Operational Umbral Methods [PDF]
Axioms, 2019 Dual numbers and their higher-order version are important tools for numerical computations, and in particular for finite difference calculus. Based on the relevant algebraic rules and matrix realizations of dual numbers, we present a novel point of view,
Nicolas Behr +3 more
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