Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions

被引：174
|
作者：
Ali, Rosihan M. [1 ]
Lee, See Keong [1 ]
Ravichandran, V. [1 ,2 ]
Supramaniam, Shamani [1 ]
机构：
[1] Univ Sains Malaysia, Sch Math Sci, Usm 11800, Penang, Malaysia
[2] Univ Delhi, Dept Math, Delhi 110007, India
来源：
APPLIED MATHEMATICS LETTERS | 2012年 / 25卷 / 03期
关键词：
Univalent functions; Bi-univalent functions; Bi-starlike functions; Bi-convex functions; Subordination; CONCAVE;
D O I：
10.1016/j.aml.2011.09.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g = f(-1) satisfying the conditions that zf'(z)/f(z) and zg'(z)/g(z) are both subordinate to a univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are made. (C) 2011 Elsevier Ltd. All rights reserved.
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页码：344 / 351
页数：8
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