Univalency of general integral operator defined by Schwarz functions

Abstract

In this paper, we obtain new univalence conditions for the integral operator Wβ(z)=β∫0ztβ-1∏i=1n(1+wi(t))γiexp∑i=1nγiwi(t)dt1β, where wi(t) are Schwarz functions defined in the open unit disk. Our main results contain some interesting corollaries as special cases.

Keywords

• Analytic and univalent functions
• Integral operator