{"title":"Regular growth of Fourier coefficients of the logarithmic derivative of entire functions of improved regular growth","authors":"R. Khats","doi":"10.31861/bmj2019.01.114","DOIUrl":null,"url":null,"abstract":"We establish a criterion for the improved regular growth of entire functions of positive order with zeros on a (cid:28)nite system of rays in terms of Fourier coe(cid:30)cients of their logarithmic derivative.","PeriodicalId":196726,"journal":{"name":"Bukovinian Mathematical Journal","volume":"9 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bukovinian Mathematical Journal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31861/bmj2019.01.114","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
We establish a criterion for the improved regular growth of entire functions of positive order with zeros on a (cid:28)nite system of rays in terms of Fourier coe(cid:30)cients of their logarithmic derivative.