COEFFICIENT ESTIMATES AND QUASI-SUBORDINATION PROPERTIES ASSOCIATED WITH CERTAIN SUBCLASSES OF ANALYTIC AND BI-UNIVALENT FUNCTIONS

被引：9

作者：

Goyal, S. P. ^{[1
]}

Kumar, Rakesh ^{[2
]}

机构：

[1] Univ Rajasthan, Dept Math, Jaipur 302004, Rajasthan, India

[2] Amity Univ Rajasthan, Dept Math, Jaipur 301002, Rajasthan, India

来源：

MATHEMATICA SLOVACA | 2015年 / 65卷 / 03期

关键词：

univalent functions; bi-univalent functions; bi-starlike functions; bi-convex functions; quasi-subordination; FEKETE-SZEGO PROBLEM; CONVEX-FUNCTIONS; STARLIKE;

D O I：

10.1515/ms-2015-0038

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, we obtain the estimates on initial coefficients of normalized analytic function 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 quasi-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 established. (C) 2015 Mathematical Institute Slovak Academy of Sciences

引用

页码：533 / 544

页数：12

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