Generalized classes of starlike and convex functions of orderα

Classes of uniformly starlike and convex functions

Some classes of uniformly starlike and convex functions are introduced. The geometrical properties of these classes and their behavior under certain integral operators are investigated. 1. Introduction. Let A denote the class of functions of the form f (z) = z+ ∞ n=2 a n z

Convex and Starlike Univalent Functions

Generalized Hypergeometric Functions and Associated Families of k-Uniformly Convex and k-Starlike Functions

In this lecture, we aim at presenting a certain linear operator which is defined by means of the Hadamard product (or convolution) with a generalized hypergeometric function and then investigating its various mapping as well as inclusion properties involving such subclasses of analytic and univalent functions as (for example) k-uniformly convex functions and k-starlike functions. Relevant conne...

On Some Classes of Multivalent Starlike Functions

Classes of multivalent functions analogous to certain classes of univalent starlike functions are defined and studied. Estimates on coefficients and distortion are made, using a variety of techniques. 1. Let St denote the class of all functions/(z) = z + . . . analytic, univalent and starlike in the unit disc U. Such functions satisfy the condition Re(z/'(z)//(z)) >0,zGU. The problem of definin...

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