摘要：
Let R(beta, alpha) denote the class of functions of the form: f(z) = z + a(2)z(2) + a(3)z(3 +) ..., which are analytic in the open unit disk D = {z: vertical bar z vertical bar < 1} and satisfy the condition Re{f'(z) + az f'' (z)} > beta (a > 0; beta < 1; z epsilon D). We find extreme points of R (beta,a) and obtain some sharp bounds for certain linear problems. And we find number beta(a) (a >= 1) such that R(beta, a) is a subclass of S*, which denotes the class consisting of univalent starlike functions in D. (c) 2006 Elsevier Inc. All rights reserved.
期刊：
Tamsui Oxford Journal of Information and Mathematical Sciences,2007年23(2):141-153 ISSN：2222-4424
作者机构：
College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan, 410076, China
关键词：
Differential subordination;λ-Bazilevič functions of type α + iμ
摘要：
In the present paper, the authors introduce a new subclass Bn(λ, α, μ, A, B, z) of λ-Bazilevič functions of type α + iμ. The subordination relations and inequality properties are discussed by making use of differential subordination method. The results presented here generalize and improve some known results, and some other new results are obtained.
作者机构：
[Wang Z.-G.; Gao C.-Y.; Yuan S.-M.] School of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, 410076 Hunan, China
通讯机构：
School of Mathematics and Computing Science, Changsha University of Science and Technology, China
摘要：
In the present paper, the authors introduce a new subclass K s(k) (α, β) of close-to-convex functions. The subordination and inclusion relationship, and some coefficient inequalities for this class are provided. The results presented here would provide extensions of those given in earlier works.
作者机构：
[廖茂新] School of Mathematics and Physics, Nanhua University;[高纯一; 王智刚] Institute of Mathematics and Computing Science, Changsha University of Science and Technology
关键词：
Supported by the Scientific Research Fund of Hunan Provincial Education Department;Supported by the Nanhua University Key Items
摘要：
In this paper we define two classes of quasiconformal mappings, and study their covering properties by methods of module. We obtain some new results. In the meantime,we give new methods to prove Koebe 1/2 covering theorem on convex conformal mappings.
期刊：
Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis,2006年22(2):171-177 ISSN：0866-0182
通讯作者：
Wang, Z.
作者机构：
[Wang Z.; Gao C.; Yuan S.] College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076, China
通讯机构：
[Wang, Z.] C;College of Mathematics and Computing Science, , Changsha, Hunan 410076, China
摘要：
In the present paper, the authors introduce a new subclass K s (α, β) of close-to-convex functions. Several coefficient inequalities, growth, distortion and covering theorem for this class are provided.
期刊：
Acta Mathematica Academiae Paedagogicae Nyiregyhaziensis,2005年21(2):147-154 ISSN：0866-0182
通讯作者：
Wang, Z.
作者机构：
[Wang Z.; Gao C.; Liao M.] Institute of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha, Hunan 410076, China
通讯机构：
[Wang, Z.] I;Institute of Mathematics and Computing Science, , Changsha, Hunan 410076, China
关键词：
Differential subordination;Non-Bazilevič function
摘要：
In this paper, a subclass N(λ, α, A, B) of analytic functions is introduced, which is a generalized class of non-Bazilevič functions. The subordination relations, inclusion relations, distortion theorems and inequality properties are discussed by applying differential subordination method.
摘要：
By making use of certain familiar integral operators, the authors introduce and investigate several new subclasses of starlike, convex, close-to-convex, and quasi-convex functions. Among other results presented here, the authors establish a number of inclusion relationships associated with some of these integral operators. Some of the results established in this paper would provide extensions of those given in earlier works.
摘要：
Denote by A the class of functions f(z) analytic in the unit disk D and normalised so that f(0) = f'(0) - 1 = 0. For f(z) is-an-element-of A, let F(z) = integral-z/0 [f(t)/t]dt for z is-an-element-of D. We find estimate on beta so that Re f'(z) > - beta will ensure the starlikeness of F(z). Our conclusion improves the well-known results.
