Abstract

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

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