Certain Subclasses of Bi-univalent Functions Associated with the Chebyshev Polynomials Based on Hohlov Operator

被引：1

作者：

Murugusundaramoorthy, G. ^{[1
]}

Vijaya, K. ^{[1
]}

Guney, H. O. ^{[2
]}

机构：

[1] VIT Univ, Dept Math, Sch Adv Sci, Vellore 632014, Tamil Nadu, India

[2] Dicle Univ, Fac Sci, Dept Math, TR-21280 Diyarbakir, Turkey

来源：

TBILISI MATHEMATICAL JOURNAL | 2018年 / 11卷 / 02期

关键词：

Analytic functions; Bi-univalent functions; Chebyshev polynomials; Coefficient estimates;

D O I：

10.32513/tbilisi/1530842677

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we introduce and investigate two new subclasses of the function class Sigma of bi-univalent functions in the open unit disk, which are associated with the Hohlov operator, and satisfying subordinate conditions. Furthermore, we find estimates on the Taylor-MacLaurin coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar for functions in these new subclasses by using Chebyshev polynomials. Several new consequences of these results are also pointed out.

引用

页码：153 / 166

页数：14

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