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

被引：179

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.

引用

页码：344 / 351

页数：8

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