{"title":"Third Hankel determinants for a certain subclass of analytic functions","authors":"B. Venkateswarlu, P. Reddy, N. Rani","doi":"10.1063/5.0014552","DOIUrl":null,"url":null,"abstract":"In this paper, we obtain the best possible upper bound to the second and third Hankel determinants for the functions belonging to a certain general subclass of analytic functions defined on the open unit disc in the complex plane using Toeplitz determinants. Relevant connections of the results presented here with those given in earlier works are also indicated.","PeriodicalId":402368,"journal":{"name":"INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (ICMSA-2019)","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND APPLICATIONS (ICMSA-2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/5.0014552","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, we obtain the best possible upper bound to the second and third Hankel determinants for the functions belonging to a certain general subclass of analytic functions defined on the open unit disc in the complex plane using Toeplitz determinants. Relevant connections of the results presented here with those given in earlier works are also indicated.