General Integral Operator of Analytic Functions Involving Functions with Positive Real Part

Abstract EN

Let Bβ be the integral operator defined by Bβ(z)=[β∫0ztβ-1∏i=1n[((fi (t))/t)γipiζi(t)]dt]1/βwhere each of the functions fi and pi are, respectively, analytic functions and functions with positive real part defined in the open unit disk for all i=1,…,n.

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.