Some inclusion relationships associated with the Komatu integral operator

In this paper we introduce and study some new subclasses of starlike, convex, close-to-convex and quasi-convex functions defined by the Komatu integral operator. Inclusion relationships are established and integral operator of functions in these subclasses is discussed.     

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.     

On classes of analytic functions defined by convolution with incomplete beta functions

Carlson and Shaffer [SIAM J. Math. Anal. 15 (1984) 737-745] defined a convolution operator L(a,c) on the class A of analytic functions involving an incomplete beta function ?(a,c;z) as L(a,c)f=?(a,c)?f. We use this operator to introduce certain classes of analytic functions in the unit disk and study their properties including some inclusion results, coefficient and radius problems. It is shown that these classes are closed under convolution with convex functions.     

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.     

Properties for uniformly starlike and related functions under the Srivastava-Attiya operator

In the present paper, we introduce and investigate classes of analytic functions involving the Srivastava-Attiya operator. Basic properties for β-uniformly starlike functions of order γ are studied, such as inclusion relations, sufficient conditions, coefficient inequalities and distortion inequalities. The results are also extended to β-uniformly convex, close-to-convex, and quasi-convex functions. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.     

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.     

Inclusion properties for certain classes of meromorphic functions associated with the Choi–Saigo–Srivastava operator

The purpose of the present paper is to introduce several new classes of meromorphic functions defined by using a meromorphic analogue of the Choi–Saigo–Srivastava operator for analytic functions and investigate various inclusion properties of these classes. Some interesting applications involving these and other classes of integral operators are also considered.     

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.     

Some properties of two subclasses of k-fold symmetric functions associated with Srivastava-Attiya operator

In the present paper, by using the Srivastava-Attiya operator, we define two new subclasses of k-fold symmetric analytic functions. Some interesting properties of these subclasses such as integral representations, extreme points, close convex hulls and subordinations are obtained, which generalize and refine some previous results.     

Linear Invariance of Locally Biholomorphic Mappings in Hilbert Spaces

We study the notion of linear invariance on the unit ball of a complex Hilbert space X and we obtain some connections between the norm-order of a linear invariant family (L.I.F.) and the quasi-convexity. Also, we give some results concerning the radius of univalence of some linear invariant families. Finally we find the norm-order of normalized convex mappings in the unit ball of X and some lower bounds for the radius of convexity and the radius of starlikeness for a certain L.I.F. in X .     

Integral operators preserving certain analytic functions

The purpose of the present paper is to investigate some integral preserving properties for certain analytic functions in the open unit disk. We also obtain the conditions for close-to-convex functions in a sector. Our results contain some interesting corollaries as the special cases.     

Radius of convexity of certain classes of analytic functions

We consider the classes of analytic functions introduced recently by K.I. Noor which are defined by conditions joining ideas of close-to-convex and of bounded boundary rotation functions. We investigate coefficients estimates and radii of convexity.     

Certain Sub classes of Analytic Functions Involving the Generalized Dziok-Srivastava Op erator

The generalized Dziok-Srivastava operator is used here to introduce a class of analytic functions in the open unit disc. We provide convolution properties, some subordi-nation relations and the problem of radius. The results presented here extend some of the earlier results.     

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.     

有界凸圆型域上的准凸映照

本文研究星形映照的一类子族——有界凸圆型城上的准凸映照,并讨论了它与星形映照及凸映照的关系,建立其与凸映照同形的增长定理和掩盖定理．     

Some properties of Riesz potential associated with SchrSdinger operator

Let L = −Δ + V be the Schr?dinger operator on ℝ ^d , d ≥ 3, where Δ is the Laplacian on ℝ ^d and V ≢ 0 is a nonnegative function satisfying the reverse H?lder inequality. In this article, the author investigates some properties of the Riesz potential I _α ^L associated with L on the Campanato-type spaces Λ _L ^β and the Hardy-type spaces H _L ^p .     

Subclasses of meromorphic functions associated with the Cho-Kwon-Srivastava operator

We consider a multiplier transformation and some subclasses of the class of meromorphic functions which was defined by means of the Hadamard product by N.E. Cho, O.S. Kwon and H.M. Srivastava in [N.E. Cho, O.S. Kwon, H.M. Srivastava, Inclusion and argument properties for certain subclasses of meromorphic functions associated with a family of multiplier transformations, J. Math. Anal. Appl. 300 (2004) 505-520].