Coefficient Estimates for Bi-Univalent Bazilevic Functions

In this paper we consider the class of Bazilevic functions for bi-univalent functions. For this we will estimate the coefficients a2 and a3 using Caratheodory func- tions and the method of differential subordination.     

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.     

Coefficient Estimates for Two Subclasses of Analytic and Bi-Univalent Functions

Ukrainian Mathematical Journal - We introduce two new subclasses of the class ?? of analytic and bi-univalent functions in the open unit disk U. Furthermore, we establish estimates...     

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.     

和一类积分算子相关的单叶函数的子类

在Ruscheweyh定义了解析函数的Ruscheweyh导数[1]之后,许多学者相继研究了与Ruscheweyh导数有关的单叶或者多叶解析函数类.近来,Jung,Ki m和Srivastava[5]引入了下面的单参数积分算子类:Iσf(z)=zΓ2(σσ)∫0zlogtzσ-1f(t)dt,σ0,f∈Α.算子Iσ和Flett[6]研究的乘数变换密切相关.本文利用算子Iσ定义了两个函数类.首先研究在单位圆内解析的单叶函数类Rσ(A,B),给出函数类的包含关系Rσ(A,B)Rσ+1(A,B),同时也考虑了在积分算子Fλ的作用下的函数类的包含关系以及当λ取特殊值1时的特殊情况.其次研究了函数类Rσ(A,B)中系数为正实数的函数类Sσ(A,B),给出函数f(z)属于类Sσ(A,B)的充分必要条件.     

Subclasses of bi-univalent functions defined by convolution

In this paper, we introduced two new subclasses of the function class Σ of bi-univalent functions analytic in the open unit disc defined by convolution. Furthermore, we find estimates on the coefficients ∣a₂∣ and ∣a₃∣ for functions in these new subclasses.     

On the Coefficients of Some Subclasses of Univalent Functions

In this paper we consider the class L_c*(,,) consisting of analytic and univlent functions with negative coefficients and with fixed second coefficient. The object of the present paper is to show coefficient estimates, convex linear combinations, some distortion theoems and radii of starlikeness and convexity for f(z) in the class L_c*(,,). The results are generalized to families with finitely many fixed coefficients.AMS Subject Classification (1991) 30C45     

Closure properties of operators on the Ma-Minda type starlike and convex functions

A normalized univalent function f is called Ma-Minda starlike or convex if zf^′(z)/f(z)?φ(z) or 1+zf^″(z)/f^′(z)?φ(z) where φ is a convex univalent function with φ(0)=1. The class of Ma-Minda convex functions is shown to be closed under certain operators that are generalizations of previously studied operators. Analogous inclusion results are also obtained for subclasses of starlike and close-to-convex functions. Connections with various earlier works are made.     

基于Salagean算子的bi-单叶函数系数估计

讨论和研究了受限于Salagean算子且同时满足:1+1/b((D~(n+1)f(z)/(D~nf(z)))-1)φ(z)和1+1/b((D~(n+1)f~(-1)(ω)/(D~nf~(-1)(ω))-1)Ψ(ω)的bi-单叶解析函数的系数估计问题,这里φ(z)和Ψ(ω)为正实部函数.主要的研究结果直接推广了先前相应工作.     

Salagean算子定义的双单叶函数子类的系数估计

In this paper, a new subclass N_Σ~(h,p)(m, λ, μ) of analytic and bi-univalent functions in the open unit disk U is defined by salagean operator. We obtain coefficients bounds |a_2| and |a_3| for functions of the class. Moreover, we verify Brannan and Clunie's conjecture |a_2| ≤2~(1/2)for some of our classes. The results in this paper extend many results recently researched by many authors.     

Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions

Estimates on the initial coefficients are obtained for normalized analytic functions f in the open unit disk with f and its inverse g=f⁻¹ satisfying the conditions that zf^′(z)/f(z) and zg^′(z)/g(z) are both subordinate to a univalent function whose range is symmetric with respect to the real axis. Several related classes of functions are also considered, and connections to earlier known results are made.     

Subordination Results for ρ-Valent Meromorphic Functions Associated with a Linear Operator

In this paper, by making use of the Hadamard products, we obtain some subordination results for certain family of meromorphic functions defined by using a new linear operator.     

关于与k-折对称点有关的近于凸和拟凸函数族的子族

本文引入了两类新的与k折对称点有关的近于凸和拟凸函数族的子族C(k)(λ,α,β)和QC(k)(λ,α,β).给出了这些函数族的系数不等式,积分表达式,包含和从属关系,卷积条件和覆盖定理.所得到的结果推广了一些相关文献的结果,并得到了一些新的结果.     

Certain subclasses of p-valently analytic functions involving a generalized fractional differintegral operator

By making use of the principle of subordination between analytic functions and the generalized fractional differintegral operator, we introduce and investigate some new subclasses of p-valently analytic functions in the open unit disk. Such results as inclusion relationships, integral-preserving properties, convolution properties, subordination and superordination properties, and sandwich theorems for these classes are derived.     

Certain subclasses of p-valent functions involving the Dziok-Srivastava operator

Using the methods of differential subordination, we investigate some inclusion relationships of certain subclasses of analytic and p-valent functions which are defined by means of Dziok-Srivastava operator.     

解析函数单叶性的某些充分条件

本文给出了单位圆盘内解析函数单叶性的某些充分条件。     

算子解析函数的系数不等式

定义受限Salagean算于的一般化族M(φ,n,b),这里φ(z)为正买部函数.完整的给出了当:i)b∈C,μ∈C;ii)b>0,μ∈R;(3)b∈C,μ∈R3种不同情况下关于Fekete-Szego函数A(f)=|a_3-μa_2²}的最好界,这里.f∈M(φ,n,b).主要结果覆盖了一些相关的重要子族.     

关于某类p叶解析函数

引进了新的p叶解析函数子类Bp,λ,α(A,B,C,D),应用微分从属方法证明它的从属关系、包含关系、偏差定理和不等式性质.     

Subordination Results for p-Valent Meromorphic Functions Associated with a Linear Operator

In this paper, by making use of the Hadamard products, we obtain some subordination results for certain family of meromorphic functions defined by using a new linear operator.     

某个用Carlson-Shaffer算子定义的解析函数子类的性质(英文)

Let Hn（p）be the class of functions of the form f（z）=z p＋ ＋∞ Σ k=n akzk＋p,which are analytic in the open unit disk U={z：｜z｜1}.In the paper,we introduce a new subclass Bn（μ,a,c,α,p;φ）of Hn（p）and investigate its subordination relations,inclusion relations and distortion theorems.The results obtained include the related results of some authors as their special case.