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

被引：161
|
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.
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页码：831 / 842
页数：12
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