Coefficient Estimates for Certain Subclasses of Bi-Univalent Ma-Minda Mocanu-Convex Functions

作     者：C.Selvaraj O.S.Babu G.Murugusundaramoorthy 

作者机构：Department of Mathematics Presidency College (Autonomous) Department of Mathematics Dr. Ambedkar Govt. Arts College School of Advanced Sciences VIT University 

出 版 物：《Analysis in Theory and Applications》 (分析理论与应用（英文刊）)

年 卷 期：2014年第30卷第2期

页      面：141-150页

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：Analytic functions univalent functions bi-univalent functions bi-starlike functions,bi-convex functions bi-Mocanu-convex functions subordination Hohlov operator. 

摘      要：In this paper, we introduce and investigate a new subclass of the function class ∑. of bi-univalent functions of the Mocanu-convex type defined in the open unit disk, satisfy Ma and Minda subordination conditions. Furthermore, we find estimates on the Taylor-Maclaurin coefficients ｜a2｜ and ｜a3｜ for functions in the new subclass introduced here. Further Application of Hohlov operator to this class is obtained. Several （known or new） consequences of the results are also pointed out.