{"title":"改进正则增长的整个函数的对数导数的傅里叶系数的正则增长","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":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"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\":null,\"pages\":null},\"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}","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}
Regular growth of Fourier coefficients of the logarithmic derivative of entire functions of improved regular growth
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.