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.     

THIRD-ORDER DIFFERENTIAL SUBORDINATION RESULTS FOR ANALYTIC FUNCTIONS INVOLVING THE GENERALIZED BESSEL FUNCTIONS

In the present paper, we derive some third-order differential subordination results for analytic functions in the open unit disk, using the operator Bcκf by means of normalized form of the generalized Bessel functions of the first kind, which is defined as z(Bcκ+1f(z))′= κBcκf(z)-(κ- 1)Bcκ+1f(z),where b, c, p ∈ C and κ = p +(b + 1)/2 ∈ C \ Z-0(Z-0= {0,-1,-2, ··· }). The results are obtained by considering suitable classes of admissible functions. Various known or new special cases of our main results are also pointed out.     

STARLIKENESS AND SUBORDINATION PROPERTIES OF A LINEAR OPERATOR

In this paper, we introduce a new class of p-valent analytic functions defined by using a linear operator Lαk. For functions in this class Hαk(p, λ; h) we estimate the coefficients.Furthermore, some subordination properties related to the operator Lαkare also derived.     

SOME CONVOLUTION AND INCLUSION PROPERTIES FOR SUBCLASSES OF MEROMORPHIC p-VALENT FUNCTIONS INVOLVING INTEGRAL OPERATOR

Making use of the linear operator Lp^m（λ,e）f（z）=1/z^p＋∞∑k=1[e/e＋λk]^m akz^k-p,where e〉0,λ〉0,p∈N,m∈N0=NU{0},z∈U^＊ and f（z）∈∑p,we introduce two subclasses of meromorphic p-valent analytic functions and investigate convolution and inclusion properties for these classes.     

关于Liu-Owa积分算子的双重从属保持性质

本文研究了单位圆盘内关于Liu-Owa积分算子的多叶解析函数类的从属和超从属保持问题.利用微分从属的方法,获得了该类函数的中间型结果,推广和改进了一些已知结果.     

一类亚纯多叶星象函数的子族

本文研究了一类亚纯多叶星象函数的子族(?)_p(β,λ).利用分析的方法与技巧,得到了函数族(?)_p(β,λ)的系数估计、邻域与部分和性质及一些包含关系,所得结果推广了相关作者的一些成果.     

SUFFICIENT CONDITION FOR FUNCTIONS TO BE IN A CLASS OF MEROMORPHIC MULTIVALENT SAKAGUCHI TYPE SPIRAL-LIKE FUNCTIONS

In this article, we define a subclass of meromorphic multivalent Sakaguchi type functions and obtain certain sufficient conditions for functions to be in this class. The main result presented here includes a number of consequences as its special cases.     

CERTAIN SUBCLASS OF p-VALENT MEROMORPHIC ANALYTIC FUNCTIONS INVOLVING CERTAIN INTEGRAL OPERATOR

The purpose of the present paper is to introduce a new subclass of p-valent meromorphic functions by using certain integral operator and to investigate various properties for this subclass.     

ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION

In this paper, the new subclass Bn( ,a,A,B) of analytic functions is introduced. Its subordination relations, inclusion relations, the inequality properties and convering theorem are discussed. The results obtained in this paper are sharp, which generalize the related works of some authors and some other new results are obtained.     

Some applications of differential subordination of <Emphasis Type="Italic">p</Emphasis>-valent functions associated with Cho-Kwon-Srivastava operator

Making use of the principle of differential subordination, we investigate some inclusion relationships of certain subclasses of p-valent analytic functions which are defined by Cho-Kwon Srivast ava Operator.     

ON A CLASS OF ANALYTIC FUNCTIONS RELATED TO CONIC DOMAINS AND ASSOCIATED WITH CARLSON-SHAFFER OPERATOR

Making use of the Carlson-Shaffer convolution operator, we introduce and study a new class of analytic functions related to conic domains. The main object of this paper is to investigate inclusion relations, coefficient bound for this class. We also show that this class is closed under convolution with a convex function. Some applications are also discussed.     

具有正算子系数的亚纯p-叶算子值函数的性质

通过对α阶β型亚纯星形算子值函数类∑p(α，β）的若干性质的讨论，得到了关于∑p(α，β）的一个充分必要条件的f(z)的算子系数的一个估计，同时，也证明了∑p(α，β）在算子平均和凸线性组合下是闭的。     

CERTAIN FAMILY OF INTEGRAL OPERATORS PRESERVING SUBORDINATION AND SUPERORDINATION

We obtain subordination, superordination and sandwich-preserving new theorems for certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorem for these integral operators is also derived, and the results generalize some recently ones.     

Some applications of Briot—Bouquet differential subordination

Some applications of Briot—Bouquet differential subordination are obtained which improve or extend a number of classical results in the univalent function theory.     

多叶解析函数族子类的一些结果(英文)

本文研究了在单位开圆盘U={z:|z|1}内多叶解析的函数族G_(p,c)~*(a,b,σ)的性质.利用函数论的方法,获得了G_(p,c)~*(a,b,σ)族相关的准哈达玛乘积的一般化结果及G_(p,c)~*(a,b,σ)的极值点与支撑点.推广了先前相应的一些研究工作。     

RELAXATION OF FUNCTIONALS INVOLVING HOMOGENEOUS FUNCTIONS AND INVARIANCE OF ENVELOPES

51. IntroductionWe denote by Mm. the space of real m x n matrices. Let U' bc a function defined onM.., with values in R and n be a bounded domain in Wt. The basic problenl of the Calculusof Variations consists in minirnizing such energy functionals asI(u) = f I+'(vu(x))dx, (1.l)jt, I+'(vu(x))ax, (1.l)where u is a mapping from t1 into R"' belonging to some subset of a Sobolcv space. Inthis context, 7u designates the gradicnt of u, i.e., the m x 1l matrix witll components(7u)ij = % l where …     

关于亚纯函数的唯一性问题

本文应用 Ｎｅｖａｎｌｉｎｎａ理论研究亚纯函数的重值与唯一性问题,所得结果推广了某些已知的定理,并回答了Ｃ．Ｃ．Ｙａｎｇ的一个猜测．     

PROPERTIES OF THE CONVOLUTION WITH PRESTARLIKE FUNCTIONS

In the paper we investigate convolution properties related to the prestarlike functions and various inclusion relationships between defined classes of functions. Interest-ing applications involving the well-known classes of functions defined by linear operators are also considered.     

T- AND HAYMAN T-POINTS OF MEROMORPHIC FUNCTIONS FOR SMALL FUNCTIONS IN THE UNIT DISK

In this article, we consider the singular points of meromorphic functions in the unit disk. We prove the second fundamental theorem for the Ahlfors-Shimizu’s characteristic in the unit disk in terms of Nevanlinna theory in the angular domains, and obtain the existence of T -points and Hayman T -points dealing with small functions as target.