Inclusion Properties for Certain Subclasses of Analytic Functions Defined by a Generalized Multiplier Transformation
نویسنده
چکیده
Using the principle of subordination, we obtain some inclusion properties of certain subclasses of analytic functions defined by a generalized multiplier transformation. Also inclusion properties of these classes involving the generalized integral operator are obtained. Mathematical Subject Classification: 30C45
منابع مشابه
On meromorphically multivalent functions defined by multiplier transformation
The purpose of this paper is to derive various useful subordination properties and characteristics for certain subclass of multivalent meromorphic functions, which are defined here by the multiplier transformation. Also, we obtained inclusion relationship for this subclass.
متن کاملInclusion properties of certain subclasses of analytic functions defined by a multiplier transformation
The purpose of the present paper is to introduce new subclasses of analytic functions and to investigate inclusion properties of these classes, using the principle of subordination. Also inclusion properties of these classes involving the generalized integral operator are obtained. Mathematical Subject Classification: 30C45
متن کاملSome Inclusion Properties for Subclasses of P-valent Functions Defined by a Multiplier Transformation
Using the principle of subordination, we obtain some inclusion properties of subclasses of p-valent functions defined by multiplier transformation. Also inclusion properties of classes involving the generalized Libera integral operator are obtained. 2000 Mathematics Subject Classification: 30C45.
متن کاملInclusion and Neighborhood Properties of Certain Subclasses of Analytic and Multivalent Functions of Complex Order
In the present paper, the authors prove several inclusion relations associated with the (n, δ)-neighborhoods of certain subclasses of p-valently analytic functions of complex order, which are introduced here by means of a family of extended multiplier transformations. Special cases of some of these inclusion relations are shown to yield known results.
متن کاملSome properties of extended multiplier transformations to the classes of meromorphic multivalent functions
In this paper, we introduce new classes $sum_{k,p,n}(alpha ,m,lambda ,l,rho )$ and $mathcal{T}_{k,p,n}(alpha ,m,lambda ,l,rho )$ of p-valent meromorphic functions defined by using the extended multiplier transformation operator. We use a strong convolution technique and derive inclusion results. A radius problem and some other interesting properties of these classes are discussed.
متن کامل