Results 91 to 100 of about 416 (164)
Identities arising from higher-order Daehee polynomial bases
Open Mathematics, 2015 Here we will derive formulas for expressing any polynomial as linear combinations of two kinds of higherorder Daehee polynomial basis. Then we will apply these formulas to certain polynomials in order to get new and interesting identities involving ...
Kim Dae San, Kim Taekyun
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Conservation Biology, Volume 39, Issue 6, December 2025.Abstract Forest cover is positively associated with fish biomass and fisheries yield in the Amazon River floodplain, and many species enter flooded forests to feed, spawn, or seek refuge from predation. Floating macrophyte beds, known as floating meadows, in Amazon floodplains support high fish diversity and serve as nursery habitat for many fishes of ...
Sam Grinstead +6 more
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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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Umbral calculus in Ore extensions
Journal of Pure and Applied Algebra, 2020 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benouaret, Chahrazed, Salinier, Alain
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Generalized Bernstein polynomials and Bezier curves: An application of umbral calculus to computer aided geometric design [PDF]
, 2001 The umbral calculus is used to generalize Bernstein polynomials and Bézier curves. This adds great geometric flexibility to these fundamental objects of computer aided geometric design while retaining their basic ...
Winkel, Rudolf
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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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Quantum mechanics and umbral calculus
Journal of Physics: Conference Series, 2008 In this paper we present the first steps for obtaining a discrete Quantum Mechanics making use of the Umbral Calculus. The idea is to discretize the continuous Schroedinger equation substituting the continuous derivatives by discrete ones and the space-time continuous variables by well determined operators that verify some Umbral Calculus conditions ...
Lopez-Sendino, E. +3 more
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Congruences via umbral calculus
Notes on Number Theory and Discrete Mathematics, 2022 In this paper, we use the properties of the classical umbral calculus to give some congruences related to the Bell numbers and Bell polynomials. We also present a new congruence involving Appell polynomials with integer coefficients.
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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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Bell polynomials and the umbral calculus [PDF]
, 2023 V diplomski nalogi spoznamo Bellove polinome, njihovo vlogo v kombinatoriki in formule za njihov izračun, tako eksplicitne kot tudi rekurzivne. Prav tako razvijemo posebno orodje, ki nam Bellove polinome pokaže v novi luči: umbralni račun in z njim tesno
Glinšek, Tadej
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