On the moment problem and the linear difference equations with periodic coefficients

IF 1.2 3区 数学 Q1 MATHEMATICS
R. Ben Taher , M. Rachidi , A. Taia
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引用次数: 0

Abstract

The aim of this paper is to study the problem of moments linked to real sequences that are solutions of a linear difference equation of order r, whose coefficients are variable and periodic of period p2. We generate subsequences of such a sequence which satisfy a new linear recurrence equation with constant coefficients. Therefore, through the distributional formulation of these subsequences, new results related to the corresponding moment problem are established. Furthermore, some open questions on the connection between the moment problem for the original recursive sequence with periodic coefficients, and the moment problem for its related p recursive subsequences with constant coefficients, have been raised. To offer an initial perspective on our problem, the special cases r=1, p=2 and r=2, p=2 are exposed, and illustrative numerical examples are provided.
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来源期刊
CiteScore
2.50
自引率
7.70%
发文量
790
审稿时长
6 months
期刊介绍: The Journal of Mathematical Analysis and Applications presents papers that treat mathematical analysis and its numerous applications. The journal emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Papers are sought which employ one or more of the following areas of classical analysis: • Analytic number theory • Functional analysis and operator theory • Real and harmonic analysis • Complex analysis • Numerical analysis • Applied mathematics • Partial differential equations • Dynamical systems • Control and Optimization • Probability • Mathematical biology • Combinatorics • Mathematical physics.
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