Majorization problems for certain starlike functions associated with the exponential function

On Certain Classes of Meromorphically Starlike Functions

The object of the present paper is to introduce a new class E,(a) of meromorphic functions defined by a multiplier transformation and to investigate some properties for the class Further we study integrals offunctions in

Certain Integral Operator and Strongly Starlike Functions

On Certain Classes of Strongly Starlike Functions

In this paper we study functions which are strongly starlike, with the method of differential inequalities. We also give a generalization of the results obtained by the authors Milutin Obradovic and Santosh B. Joshi (1998) with new class of functions defined by q order ordinary differential operator.

On a Subclass of Certain Starlike Functions with Negative Coefficients

A certain subclass TΩ(n, p, λ, α)of starlike functions in the unit disk is introduced. The object of the present paper is to derive several interesting properties of functions belonging to the class TΩ(n, p, λ, α). Coefficient inequalities, distortion theorems and closure theorems of functions belonging to the class TΩ(n, p, λ, α) are determined. Also we obtain radii of convexity for the class ...

Certain sufficient conditions for strongly starlike functions associated with an integral operator

By using the method of differential subordinations, we derive certain sufficient conditions for strongly starlike functions associated with an integral operator. All these results presented here are sharp. 2000 Mathematics Subject Classification. Primary 30C45; Secondary 30A10.