{"title":"Partial sums of a certain harmonic univalent meromorphic functions","authors":"M. Aouf, R. El-Ashwah, J. Dziok, J. Stankiewicz","doi":"10.7862/RF.2014.1","DOIUrl":null,"url":null,"abstract":"In the present paper we determine sharp lower bounds of the real part of the ratios of harmonic univalent meromorphic functions to their sequences of partial sums. Let H denote the class of functions f that are harmonic univalent and sense-preserving in U =;fz :jzj > 1g which are of the form","PeriodicalId":345762,"journal":{"name":"Journal of Mathematics and Applications","volume":"22 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7862/RF.2014.1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
In the present paper we determine sharp lower bounds of the real part of the ratios of harmonic univalent meromorphic functions to their sequences of partial sums. Let H denote the class of functions f that are harmonic univalent and sense-preserving in U =;fz :jzj > 1g which are of the form