{"title":"q-STARLIKE FUNCTIONS OF ORDER ALPHA","authors":"Y. Polatoglu, Faruk Uçar, Bülent Yilmaz","doi":"10.26837/JAEM.428337","DOIUrl":null,"url":null,"abstract":"For all q ∈ (0; 1) and 0 ≤ ∝ < 1 we define a class of analytic functions, so-called q -starlike functions of order ∝ on the open unit disc 𝔻 = { 𝓏 : | 𝓏| < 1 }. We will study this class of functions and explore some inclusion properties with the well-known class Starlike functions of order ∝.","PeriodicalId":44094,"journal":{"name":"TWMS Journal of Applied and Engineering Mathematics","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2018-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"TWMS Journal of Applied and Engineering Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26837/JAEM.428337","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 2
Abstract
For all q ∈ (0; 1) and 0 ≤ ∝ < 1 we define a class of analytic functions, so-called q -starlike functions of order ∝ on the open unit disc 𝔻 = { 𝓏 : | 𝓏| < 1 }. We will study this class of functions and explore some inclusion properties with the well-known class Starlike functions of order ∝.