B. Venkateswarlu, P. Thirupathi Reddy, R. Madhuri Shilpa, Sujatha
{"title":"A new subclass of meromorphic function with positive coefficients defined by Hurwitz-Lerch Zeta functions","authors":"B. Venkateswarlu, P. Thirupathi Reddy, R. Madhuri Shilpa, Sujatha","doi":"10.47910/femj202102","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce and study a new subclass of meromorphic univalent functions defined by Hurwitz-Lerch Zeta function. We obtain coefficient inequalities, extreme points, radius of starlikeness and convexity. Finally we obtain partial sums and neighborhood properties for the class $\\sigma^*(\\gamma, k, \\lambda, b, s).$","PeriodicalId":388451,"journal":{"name":"Dal'nevostochnyi Matematicheskii Zhurnal","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Dal'nevostochnyi Matematicheskii Zhurnal","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47910/femj202102","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 introduce and study a new subclass of meromorphic univalent functions defined by Hurwitz-Lerch Zeta function. We obtain coefficient inequalities, extreme points, radius of starlikeness and convexity. Finally we obtain partial sums and neighborhood properties for the class $\sigma^*(\gamma, k, \lambda, b, s).$