解析和调和三项式的零点位置

IF 1.2 3区数学 Q1 MATHEMATICS

Journal of Mathematical Analysis and Applications Pub Date : 2024-11-22 DOI:10.1016/j.jmaa.2024.129078

Aaron Melman

引用次数: 0

摘要

我们推导了解析三项式和调和三项式的零包含扇区，以及它们的零点大小的扇区依赖的下界。此外，从基本参数出发，确定了调和三项式的最小和最大零点数。举例说明这一理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Zero location for analytic and harmonic trinomials

We derive zero inclusion sectors for both analytic and harmonic trinomials, as well as sector dependent lower bounds on the magnitudes of their zeros. In addition, we determine the minimum and maximum number of zeros of a harmonic trinomial from basic arguments. Examples illustrate the theory.

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来源期刊

Journal of Mathematical Analysis and Applications 数学-数学

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.