{"title":"On geometric properties of certain subclasses of univalent functions defined by Noor integral operator","authors":"E. Amini, S. Al-Omari, H. Rahmatan","doi":"10.1515/anly-2022-1043","DOIUrl":null,"url":null,"abstract":"Abstract In this paper, we investigate subclasses of univalent functions over | z | < 1 \\lvert z\\rvert<1 , using the characterization of starlikeness and Noor integral operator defined by convolution of analytic functions. We also give coefficient bounds for the class of 𝛼-spiral function of order 𝜌 and 𝑘-uniformly 𝛼-spirallike functions. Moreover, we provide some examples of univalent functions to illustrate our results.","PeriodicalId":82310,"journal":{"name":"Philosophic research and analysis","volume":"253 1","pages":"251 - 259"},"PeriodicalIF":0.0000,"publicationDate":"2022-06-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philosophic research and analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2022-1043","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
Abstract In this paper, we investigate subclasses of univalent functions over | z | < 1 \lvert z\rvert<1 , using the characterization of starlikeness and Noor integral operator defined by convolution of analytic functions. We also give coefficient bounds for the class of 𝛼-spiral function of order 𝜌 and 𝑘-uniformly 𝛼-spirallike functions. Moreover, we provide some examples of univalent functions to illustrate our results.