A new family of analytic functions associated with multiplier transformation

A Subclass of Analytic Functions Associated with Hypergeometric Functions

In the present paper, we have established sufficient conditions for Gaus-sian hypergeometric functions to be in certain subclass of analytic univalent functions in the unit disc $mathcal{U}$. Furthermore, we investigate several mapping properties of Hohlov linear operator for this subclass and also examined an integral operator acting on hypergeometric functions.

On Some Analytic Functions Defined by a Multiplier Transformation

A new comprehensive class of analytic functions defined by multiplier transformation

j=n+1  λ (j − 1) + l + 1 l + 1 m ajz j, where n ∈ N,m ∈ N ∪ {0}, λ, l ≥ 0 and f ∈ An, An = {f ∈ H(U) : f (z) = z + an+1z + · · · , z ∈ U}. A number of interesting consequences of some of these subordination results are discussed. Relevant connections of some of the new results obtained in this paper with those in earlier works are also provided. © 2011 Elsevier Ltd. All rights reserved.

On Certain Subclasses of Analytic Functions Defined by a Multiplier Transformation with Two Parameters

Let A denote the class of analytic functions with the normalization f(0) = f ′(0) − 1 = 0 in the open unit disk U = {z : |z| < 1}, set f b,λ(z) = z + ∞ ∑ k=2 (k + b 1 + b )n (k + λ− 1)! λ!(k − 1)! z k (n ∈ C, b ∈ C \ Z−, λ > −1; z ∈ U). and define (fn b,λ) (−1) in terms of the Hadamard product f b,λ(z) ∗ (f b,λ)(z) = z (1 − z)μ (μ > 0; z ∈ U). In this paper, the authors introduce several new su...

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.