Coefficient Estimates for a General Subclass of Analytic and Bi-Univalent Functions

被引：163

作者：

Srivastava, H. M. ^{[1
]}

Bulut, Serap ^{[2
]}

Caglar, Murat ^{[3
]}

Yagmur, Nihat ^{[4
]}

机构：

[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada

[2] Kocaeli Univ, Civil Aviat Coll, TR-41285 Izmit, Turkey

[3] Ataturk Univ, Dept Math, Fac Sci, TR-25240 Yakutiye Erzurum, Turkey

[4] Erzincan Univ, Fac Sci & Art, Dept Math, TR-24000 Erzincan, Turkey

来源：

FILOMAT | 2013年 / 27卷 / 05期

关键词：

Analytic functions; Univalent functions; Bi-univalent functions; Taylor-Maclaurin series expansion; Coefficient bounds and coefficient estimates; Taylor-Maclaurin coefficients;

D O I：

10.2298/FIL1305831S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce and investigate an interesting subclass N-Sigma(h,p) (lambda, mu) of analytic and bi-univalent functions in the open unit disk U. For functions belonging to the class N-Sigma(h,p) (lambda, mu), we obtain estimates on the first two Taylor-Maclaurin coefficients |a(2)| and |a(3)|. The results presented in this paper would generalize and improve some recent works of Caglar et al. [3], Xu et al. [10], and other authors.

引用

页码：831 / 842

页数：12

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