The Starlikeness of Analytic Functions of Koebe Type with Complex Order  

作　　者：Mohd Nazran Mohammed PAUZI Maslina DARUS Saibah SIREGAR 

机构地区：[1]School of Mathematical Sciences, Faculty of Science and Technology,Universiti Kebangsaan Malaysia [2]Faculty of Engineering and Life Sciences, Universiti Selangor

出　　处：《Journal of Mathematical Research with Applications》2018年第6期586-596,共11页数学研究及应用（英文版）

基　　金：Supported by UKM(Grant No.GUP-2017-064)

摘　　要：For α 〉 0, λ 〉 0 and β,η∈R, we consider the M（α,λ）b of normalized analyticα — λ convex functions defined in the open unit disc U. In this paper we investigate the class M（α, λ,β,η）b,with fb ：= z/（1-z^n）~b being Koebe type. By making use of Jack’s Lemma as well as several differential and other inequalities, the authors derive sufficient conditions for starlikeness of the class M（α, λ, β, η）b of n-fold symmetric analytic functions of Koebe type. Relevant connections of the results presented here with those given in earlier works are also indicated.For α 〉 0, λ 〉 0 and β,η∈R, we consider the M（α,λ）b of normalized analyticα — λ convex functions defined in the open unit disc U. In this paper we investigate the class M（α, λ,β,η）b,with fb ：= z/（1-z^n）~b being Koebe type. By making use of Jack’s Lemma as well as several differential and other inequalities, the authors derive sufficient conditions for starlikeness of the class M（α, λ, β, η）b of n-fold symmetric analytic functions of Koebe type. Relevant connections of the results presented here with those given in earlier works are also indicated.

关 键 词：analytic function SUBORDINATION SUPERORDINATION Koebe type 

分 类 号：O174[理学—数学]