由Dziok-Srivastava算子定义的$p$叶解析函数的包含关系

In this paper, we use the methods of differential subordination and the properties of convolution to investigate the class Wp(H(ai, bj); φ) of multivalent analytic functions, which is defined by the Dziok-Srivastava operator H(a1,..., aq; b1,..., bs). Some inclusion properties for this class are obtained.     

由Dziok-Srivastava算子定义的多叶解析函数类的性质

本文研究了由Dziok-Srivastava算子H(a₁,…,a_q;b₁,…,b_s)定义的关于参数b_j ∈ C\Z₀^-(Z₀^-=0,-1,-2,…;j=1,2,…,s)的多叶解析函数类W_p(H(b_j+1);A,B).利用微分从属的方法和卷积的性质,获得了该类函数的特征性质和包含结果,推广了一些已知结果.     

与Dziok-Srivastava算子相关的正系数亚纯多叶函数类

利用Dziok-Srivastava算子定义了单位圆盘内以原点为极点的具有正系数的p叶亚纯函数的子类Wp+,q,s(α1,α),考察它们的各种性质,并将解析函数的邻域概念运用于此亚纯多叶函数类.     

与Dziok-Srivastava算子有关的几类解析双单值函数拟从属子类的Fekete-Szeg?问题(英文)

本文介绍了与Dziok-Srivastava算子有关的解析双单叶类Σ的两个拟从属子类,系数估计和Fekete-Szeg?泛函.利用微分拟从属和卷积算子理论,获得了相应函数子类的Fekete-Szeg?泛函不等式和系数a₂和a₃的有界估计,推广和改进了某些早期已知结果.     

一类解析函数的广义λ-Hadamard卷积

首先引进一类具有负系数的广义星象函数子类及其广义λ-Hadamard卷积;其次,利用从属关系证明了属于该类函数的充要条件;最后,研究了在函数类上广义λ-Hadamard卷积及其相关特殊卷积的封闭性质.所得结果改进和推广了Choi等人的主要结果,并得到了一些新结果.     

某类多叶解析函数的性质

设A(p)(p是指数，p≥1）表示在单位圆盘E内形如f(z)=z^p ap 1z^p 1…的解析函数族。本文引进了新的函数子类Hσ（p,α），找出了Hσ（p,α）闭凸包的极值点并给出精确的系数估计，还讨论了Hσ（p,α）其它一些有趣的性质。     

由算子定义的一类p叶解析函数性质

通过Hadarnard卷积定义算子I<,n+p-1>,并利用其引进了新的解析函数类H(p,n,δ,A,B),研究了函数f(z)(f(z)∈A<,p>)属于函数类H(p,n,δ,A,B)的充分条件和部分和性质,同时还考虑了类H(p,n,δ,A,B)的卷积性质.     

关于一类解析函数的性质

引进用Hλ算子定义的一类解析函数Pλ(μ,α,β).我们导出该类中函数的积分表达式,证明偏差定理,并推广了文[3]中的主要结果.同时改进了[4]中的一个不等式.     

具有正系数和缺系数的算子解析函数类

讨论关于P^#γ（A,B）的系数估计和偏差定理,其中P^#γ（A,B）表示在单位圆盘内解析且满足/（[M^A f（z）]＇-1）/（A-B[M^A f（z）]＇）/〈1的函数f（z）=z＋∞∑n=k/an/z^n（k≥2）的类。     

关于某些P-叶解析函数类的系数估计

利用拟从属关系引进了一些新的P-叶解析函数的子类,应用解析函数的基本不等式和分析技巧,讨论了相应函数类的系数估计,得到了准确结果,推广了一些相关结果,并给出了Hadamard卷积在Fekete-Szeg问题上的应用.     

Certain inequality properties of multivalent analytic functions involving the Dziok-Srivastava operator

The object of the present paper is to derive certain inequality properties of multivalent analytic functions involving the Dziok-Srivastava operator.     

由Srivastava-Khairnar-More算子定义的$p$叶函数类的包含关系

In the present paper, we use the methods of differential subordination and convo- lution to investigate some inclusion properties for certain classes of p-valent analytic functions in the open unit disk, which are associated with the Srivastava-Khairnar-More operator. The results presented here include several previous known results as their special cases.     

Inclusion relations and convolution properties of a certain class of analytic functions associated with the Ruscheweyh derivatives

Let A denote the class of functions f(z) with

f(0)=f^′(0)−1=0,     

On certain subclasses of multivalent functions associated with an extended fractional differintegral operator

In the present paper an extended fractional differintegral operator , suitable for the study of multivalent functions is introduced. Various mapping properties and inclusion relationships between certain subclasses of multivalent functions are investigated by applying the techniques of differential subordination. Relevant connections of the definitions and results presented in this paper with those obtained in several earlier works on the subject are also pointed out.     

Classes of analytic functions associated with the Choi-Saigo-Srivastava operator

We investigate several properties of the linear Choi-Saigo-Srivastava operator and associated classes of analytic functions which were introduced and studied by J.H. Choi, M. Saigo and H.M. Srivastava [J.H. Choi, M. Saigo, H.M. Srivastava, Some inclusion properties of a certain family of integral operators, J. Math. Anal. Appl. 276 (2002) 432-445]. Several theorems are an extension of earlier results of the above paper.     

Inclusion and neighborhood properties for certain classes of multivalently analytic functions of complex order associated with the convolution structure

Making use of the familiar convolution structure of analytic functions, in this paper we introduce and investigate two new subclasses of multivalently analytic functions of complex order. Among the various results obtained here for each of these function classes, we derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the class introduced here.     

Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators

By making use of a general linear operator , the authors introduce several new subclasses of multivalent functions and investigate various inclusion relationships and argument properties associated with these subclasses. Some interesting applications involving such and other families of linear operators are also considered. The results presented here include a number of known results as their special cases.