On the Coefficients of Several Classes of Bi-Univalent Functions

In this paper, we investigate the bounds of the coefficients of several classes of bi-univalent functions. The results presented in this paper improve or generalize the recent works of other authors.     

CERTAIN SUFFICIENT CONDITIONS FOR STARLIKENESS AND CONVEXITY OF MEROMORPHICALLY MULTIVALENT FUNCTIONS

In this paper we derive certain suffcient conditions for starlikeness and con-vexity of orderαof meromorphically multivalent functions in the punctured unit disk.     

利用$(s,t)$-微分算子和拟从属定义的双单叶函数新子类的系数相关问题研究

本文中,我们引进了由$(s,t)$-微分算子和拟从属定义的一类广义双单叶函数类. 对该新函数类及其子类,利用Faber多项式展开式我们得到了前两项系数$|a_2|$, $|a_3|$和一般项系数$|a_n|~(n\geq 4)$的估计,然后也解决了Fekete-Szeg\"{o}问题.     

一类由切比雪夫多项式和$q$-微分算子定义的双单叶解析函数的初始系数估计

本文介绍了一类由切比雪夫多项式和$q$-微分算子定义的双单叶解析函数,得到了相关系数估计和Fekte-Szego不等式,所得结果改进或推广了已有部分作者的结论.     

Meromorphic approximation theorem in a Stein space

We prove the meromorphic version of the Weil–Oka approximation theorem in a reduced Stein space X and give some characterizations of meromorphically -convex open sets of X. As an application we prove that for every meromorphically -convex open set D of a reduced Stein space X with no isolated points there exists a family of holomorphic functions on X such that the normality domain of coincides with D. Mathematics Subject Classification (2000)  32E10, 32C15, 32E30, 32A19     

Ma jorization Results and Coefficients Bounds for a Class of Univalent Functions Asso ciated with Operator

In this paper we introduce a new general subclass n,g ∑ a,λ(A, B,α) of univalent func-tions related the known integral operator and differential operator. Some majorization re-sults for n,g ∑ a,λ(A, B, 1) as well as the other functions are given. Furthermore, we find the coefficients bounds on|a2|and|a3|for functions in?n,g ∑ a,λ(A1, B1, A2, B2,α1,α2), which is the bi-univalent functions defined by n,g ∑ a,λ(A, B,α) and subordination. By giving specific values of the parameters of our main results, several(known or new) consequences of main results are also discussed.     

几类亚纯双单叶函数的系数估计

研究了几类亚纯双单叶函数的系数估计,所得结果改进或推广了部分作者的结论.     

卷入Hohlov 算子的双单值函数某些子类的Fekete-Szeg\"o泛函问题

In the paper the new subclasses■and■of the function class∑of bi-univalent functions involving the Hohlov operator are introduced and investigated.Then,the corresponding Fekete-Szeg functional inequalities as well as the bound estimates of the coefficients a2 and a3 are obtained.Furthermore,several consequences and connections to some of the earlier known results also are given.     

Ma-Minda 型双向单叶函数的三阶~Hankel 行列式

In this paper, we investigate the third Hankel determinant H_3(1) for the class H_σ~μ(λ, φ)(λ≥ 1, μ≥ 1) of Ma-Minda bi-univalent functions in the open unit disk D = {z : |z| 1} and obtain the upper bound of the above determinant H_3(1).     

一类由从属关系定义的m-折对称双单叶函数的系数估计及Fekte-Szego不等式

本文研究了一类由从属关系定义的$m$-折对称双单叶函数的系数估计及Fekte-Szego不等式,所得结果改进或推广了已有部分作者的结论.