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
A class of univalent functions is defined by making use of the Ruscheweyh derivatives. This class provides an interesting transition from starlike functions to convex functions. In special cases it has close interrelations with uniformly starlike and uniformly convex functions. We study the effects of certain integral transforms and convolutions on the… (More)
By applying certain integral operators to p-valent functions we define a comprehensive family of analytic functins. The subordinations properties of this family is studied, which in certain special cases yield some of the previously obtained results.
By making use of subordination between analytic functions and the generalized Jung-Kim-Srivastava operator, we introduce and investigate a certain subclass of p-valent analytic functions. Such results as inclusion relationship, subordination property, integral preserving property and argument estimate are proved.
By using a linear operator, a subclass of meromorphically p−valent functions with alternating coefficients is introduced. Some important properties of this class such as coefficient bounds, distortion bounds, etc. are found.