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Entire functions sharing a small function with their two difference operators [PDF]

open access: yesAdvances in Difference Equations, 2017
In this article, we deduce a uniqueness result of entire functions that share a small entire function with their two difference operators, generalizing some previous theorems of (Farissi et al. in Complex Anal. Oper.
Feng Lü, Yanfeng Wang, Junfeng Xu
doaj   +2 more sources

Entire functions sharing small functions with their difference operators

open access: yesElectronic Journal of Differential Equations, 2015
We study the uniqueness for entire functions that share small functions of finite order with difference operators applied to the entire functions. In particular, we generalize of a result in [2].
Zinelaabidine Latreuch   +2 more
doaj   +3 more sources

Methods for image noise level estimation

open access: yesКомпьютерная оптика, 2021
The article presents a method for estimating the level of discrete white noise in an image, based on the use of linear difference operators with a vector mask.
A.I. Novikov, A.V. Pronkin
doaj   +1 more source

Phase-difference operator [PDF]

open access: yesPhysical Review A, 1993
We introduce a unitary operator representing the exponential of the phase difference between two modes of the electromagnetic field. The eigenvalue spectrum has a discrete character that is fully analyzed. We relate this operator with a suitable polar decomposition of the Stokes parameters of the field, obtaining a natural classical limit. The cases of
Luis Aina, Alfredo   +1 more
openaire   +4 more sources

Chaotic finite difference operators

open access: yesChaos: An Interdisciplinary Journal of Nonlinear Science, 2023
In this article, we analyze the chaotic behavior of finite difference operators associated with certain differential equations. Our examples range from numerical schemes for a birth-and-death model with proliferation to a class of second-order partial differential equations that includes the hyperbolic heat transfer equation, the telegraph equation ...
Marina Murillo-Arcila   +2 more
openaire   +5 more sources

Finite-Difference Operators for 2D problems [PDF]

open access: yesBulletin of the Polish Academy of Sciences: Technical Sciences, 2020
This paper presents the concept of using algorithms for reducing the dimensions of finite-difference equations of two-dimensional (2D) problems, for second-order partial differential equations.
T. Sobczyk
doaj   +1 more source

Montgomery identity and Ostrowski-type inequalities via quantum calculus

open access: yesOpen Mathematics, 2021
In this paper, we prove a quantum version of Montgomery identity and prove some new Ostrowski-type inequalities for convex functions in the setting of quantum calculus.
Sitthiwirattham Thanin   +4 more
doaj   +1 more source

1D and 2D finite-difference operators for periodic functions on arbitrary mesh [PDF]

open access: yesArchives of Electrical Engineering, 2022
This paper presents novel discrete differential operators for periodic functions of one- and two-variables, which relate the values of the derivatives to the values of the function itself for a set of arbitrarily chosen points over the function’s area ...
Tadeusz Jan Sobczyk
doaj   +1 more source

Solvability conditions for some difference operators

open access: yesAdvances in Difference Equations, 2005
Infinite-dimensional difference operators are studied. Under the assumption that the coefficients of the operator have limits at infinity, limiting operators and associated polynomials are introduced.
V. A. Volpert, N. C. Apreutesei
doaj   +2 more sources

Calculation of particular solutions of nonhomogeneous linear equations with two linear operators, of which at least one is almost algebraic, in the case of simple roots of the characteristic equation [PDF]

open access: yesКомпьютерные исследования и моделирование, 2016
The concept of an operator is an almost algebraic with respect to two-sided ideal of the algebra of linear operators in some finite-dimensional linear spaces, it extended to the case when the ideal is left.
Vladimir G. Tsirulik
doaj   +1 more source

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