Coefficient estimates for new subclasses of Ma-Minda bi-univalent functions

被引：47

作者：

Tang, Huo ^{[1
,2
]}

Deng, Guan-Tie ^{[2
]}

Li, Shu-Hai ^{[1
]}

机构：

[1] Chifeng Univ, Sch Math & Stat, Chifeng 024000, Inner Mongolia, Peoples R China

[2] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

analytic and univalent functions; bi-univalent functions; coefficient estimates; subordination;

D O I：

10.1186/1029-242X-2013-317

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 two new subclasses H-sigma(mu) (lambda,phi) and M-sigma(gamma) (lambda, mu, phi) of Ma-Minda bi-univalent functions defined by using subordination in the open unit disk D = {z is an element of C : vertical bar z vertical bar < 1}. For functions belonging to these new subclasses, we obtain estimates for the initial coefficients vertical bar a(2)vertical bar and vertical bar a(3)vertical bar. The results presented in this paper would generalize those in related works of several earlier authors.

引用

页数：10

共 17 条

[1] Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions [J].

Ali, Rosihan M. ;

Lee, See Keong ;

Ravichandran, V. ;

Supramaniam, Shamani .

APPLIED MATHEMATICS LETTERS, 2012, 25 (03) :344-351

[2]

[Anonymous], 1980, ASPECTS CONT COMPLEX

[3]

Brannan D.A., 1988, MATH ANAL ITS APPL, V3, P53

[4] COEFFICIENT ESTIMATES FOR A CLASS OF STAR-LIKE FUNCTIONS [J].

BRANNAN, DA ;

CLUNIE, J ;

KIRWAN, WE .

CANADIAN JOURNAL OF MATHEMATICS, 1970, 22 (03) :476-&

[5]

Caglar M, 2013, FILOMAT IN PRESS

[6]

Duren P.L., 1983, UNIVALENT FUNCTIONS, V259

[7] New subclasses of bi-univalent functions [J].

Frasin, B. A. ;

Aouf, M. K. .

APPLIED MATHEMATICS LETTERS, 2011, 24 (09) :1569-1573

[8]

Kumar S., PREPRINT

[9] ON A COEFFICIENT PROBLEM FOR BI-UNIVALENT FUNCTIONS [J].

LEWIN, M .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1967, 18 (01) :63-&

[10]

MA WC, 1994, C PR LECT NOTE APPL, V1, P157

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