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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
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.
In this paper we define the function E(a, b, c, d, z) concerning hyper-geometric function. The main aim of the present paper is to obtain conditions for a, b, c, d such that the functions zE(a, b, c, d, z) and z(2 − E(a, b, c, d, z)) belong to some classes of univalent functions. Also several operators related to the above functions are investigated.