Certain Convolution Properties of Multivalent Analytic Functions Associated with a Linear Operator
نویسنده
چکیده
Very recently N.E.Cho, O.S.Kwon and H.M.Srivastava (J.Math. Anal. Appl. 292(2004), 470-483) have introduced and investigated a special linear operator I λ p (a, c) defined by the Haramard product (or convolution). In this paper we consider some inclusion properties of a class B p (a, c, α;h) of multivalent analytic functions associated with the operator I λ p (a, c). We have made use of differential subordinations and properties of convolution in geometric function theory. 2000 Mathematics Subject Classification: 30C45
منابع مشابه
Properties of multivalent functions associated with certain integral operator
Let A(p) denote the class of functions which are analytic in the open unit disk U. By making use of certain integral operator,we obtain some interesting properties of multivalent analytic functions.
متن کاملOn a subclass of multivalent analytic functions associated with an extended fractional differintegral operator
Making use of an extended fractional differintegral operator ( introduced recently by Patel and Mishra), we introduce a new subclass of multivalent analytic functions and investigate certain interesting properties of this subclass.
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 کاملSome properties for a class of meromorphically multivalent functions with linear operator
Making use of a linear operator, which is defined here by means of the Hadamard product (or convolution), we define a subclass $mathcal {T}_{p}(a, c, gamma, lambda; h)$ of meromorphically multivalent functions. The main object of this paper is to investigate some important properties for the class. We also derive many results for the Hadamard roducts of functions belong...
متن کاملOn convolution properties for some classes of meromorphic functions associated with linear operator
In this paper, we defined two classes $S_{p}^{ast }(n,lambda ,A,B)$ and\ $ K_{p}(n,lambda ,A,B)$ of meromorphic $p-$valent functions associated with a new linear operator. We obtained convolution properties for functions in these classes.
متن کامل