UNIVALENCE PRESERVING INTEGRAL OPERATOR DEFINED BY GENERALIZED HYPERGEOMETRIC FUNCTIONS

Abstract

Let I_μ (f_1, f_2, ...f_l, g_1, g_2, ...g_l)(z) be the integral operator defined by generalized hypergeometric functions where each of the functions f_m and g_m are, respectively, analytic functions in the open unit disk for all m = 1, ..., l. The object of this paper is to obtain several univalence conditions for this integral operator. Our main results contain some interesting corollaries as special cases.