{"title":"Zero location for analytic and harmonic trinomials","authors":"Aaron Melman","doi":"10.1016/j.jmaa.2024.129078","DOIUrl":null,"url":null,"abstract":"<div><div>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.</div></div>","PeriodicalId":50147,"journal":{"name":"Journal of Mathematical Analysis and Applications","volume":"544 2","pages":"Article 129078"},"PeriodicalIF":1.2000,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Analysis and Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022247X2401000X","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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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