{"title":"CERTAIN CLASSES OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS ASSOCIATED WITH A CONVOLUTION STRUCTURE","authors":"G. Murugusundaramoorthy, Santosh B. Joshi","doi":"10.7153/JMI-03-29","DOIUrl":null,"url":null,"abstract":"Making use of a convolution structure, we introduce a new class of analytic functions PTg(λ,α,β,γ) defined in the open unit disc and investigate its various characteristics. Further we obtained distortion bounds , extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class PTg(λ,α,β,γ).","PeriodicalId":49869,"journal":{"name":"Mathematical Communications","volume":"15 1","pages":"311-322"},"PeriodicalIF":0.7000,"publicationDate":"2009-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Communications","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.7153/JMI-03-29","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 8
Abstract
Making use of a convolution structure, we introduce a new class of analytic functions PTg(λ,α,β,γ) defined in the open unit disc and investigate its various characteristics. Further we obtained distortion bounds , extreme points and radii of close-to-convexity, starlikeness and convexity for functions belonging to the class PTg(λ,α,β,γ).
期刊介绍：
Mathematical Communications is an international journal publishing original scientific papers and invited survey articles from all fields of pure and applied mathematics. The journal was initiated in 1996. It is published regularly - twice a year. There is no page charge for papers.
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