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

摘要

LetBβbe the integral operator defined byBβ(z)=[β∫0ztβ-1∏i=1n[((fi  (t))/t)γipiζi(t)]dt]1/βwhere each of the functionsfiandpiare, respectively, analytic functions and functions with positive real part defined in the open unit disk for alli=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.