Generalized Differential Operator on Bistarlike and Biconvex Functions Associated By Quasi-Subordination

被引：5
作者：
Juma, Abdul Rahman S. [1 ]
Saloomi, Mohammed H. [2 ]
机构：
[1] Univ Anbar, Dept Math, Ramadi, Iraq
[2] Univ Baghdad, Dept Math, Baghdad, Iraq
来源：
IBN AL-HAITHAM FIRST INTERNATIONAL SCIENTIFIC CONFERENCE | 2018年 / 1003卷
关键词：
Holomorphic function; Quasi-subordination; Bistarlike function; Biconvex function; Bi-univalent function;
D O I：
10.1088/1742-6596/1003/1/012046
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
In this paper, the generalized differential operator is applied to derive some subclasses of function class sigma of bi-univalent functions defined in unit disk U. We estimate the bounds of the coefficients a(2) and a(3) for all functions which belong to the derived subclasses of sigma.
引用
收藏
页数：8
相关论文
共 13 条
[1]   Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions [J].
Ali, Rosihan M. ;
Lee, See Keong ;
Ravichandran, V. ;
Supramaniam, Shamani .
APPLIED MATHEMATICS LETTERS, 2012, 25 (03) :344-351
[2]  
Deniz E., 2013, J. Class. Anal., V2, P49
[3]  
Duren P., 1977, Subordination in Complex Analysis, V599, P22
[4]   Fekete-Szego Inequalities for Quasi-Subordination Functions Classes of Complex Order [J].
El-Ashwah, Rabha ;
Kanas, Stanislawa .
KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (03) :679-688
[5]   COEFFICIENT ESTIMATES AND QUASI-SUBORDINATION PROPERTIES ASSOCIATED WITH CERTAIN SUBCLASSES OF ANALYTIC AND BI-UNIVALENT FUNCTIONS [J].
Goyal, S. P. ;
Kumar, Rakesh .
MATHEMATICA SLOVACA, 2015, 65 (03) :533-544
[6]  
MA WC, 1994, C PR LECT NOTE APPL, V1, P157
[7]  
Magesh N., 2016, ABSTR APPL ANAL, V2016, P1
[8]   Fekete-Szego Problems for Quasi-Subordination Classes [J].
Mohd, Maisarah Haji ;
Darus, Maslina .
ABSTRACT AND APPLIED ANALYSIS, 2012,
[9]  
Pommerenke C., 1975, UNIVALENT FUNCTIONS
[10]  
Ravichandran V., 2005, Hacettepe J. Math. Stat., V34, P9
12