{"title":"Zeros of harmonic polynomials with\ncomplex coefficients","authors":"Chahrazed Harrat","doi":"10.4064/cm7874-4-2021","DOIUrl":null,"url":null,"abstract":". We study the maximal number of zeros of harmonic polynomials with complex coefficients. We also study the zeros of harmonic polynomials with complex coefficients which admit a decomposition F ( z ) = P n ( z ) + Q m ( z ) where P n and Q m are polynomials of degree n and m (respectively), with n > m . 30C10, 30C15, 42A50.","PeriodicalId":49216,"journal":{"name":"Colloquium Mathematicum","volume":null,"pages":null},"PeriodicalIF":0.4000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Colloquium Mathematicum","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4064/cm7874-4-2021","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 1
Abstract
. We study the maximal number of zeros of harmonic polynomials with complex coefficients. We also study the zeros of harmonic polynomials with complex coefficients which admit a decomposition F ( z ) = P n ( z ) + Q m ( z ) where P n and Q m are polynomials of degree n and m (respectively), with n > m . 30C10, 30C15, 42A50.
. 我们最高的墙当家》研究调和定律和情结coe polynomialsfficients。我们也研究调和定律之墙和情结coe polynomialsfficients哪种承认a decomposition F (z) = P (z) + n Q n m (z)在P和Q是学位中的polynomials n和m (respectively)里,用n > m。30C10 30C15 42A50
期刊介绍:
Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics.
Two issues constitute a volume, and at least four volumes are published each year.