Abstract
In the present paper, we consider two integral operators defined on special subclass of $\mathcal{A}$,namely $U_n(\lambda,\mu)$ with $n\in\mathbb{N}$. Using the extension of Becker's lemma, we obtain new univalence criterions for the operators in the open unit disk $\mathbb{D}=\{z\in\mathbb{C}:|z|<1\}.$ Finally, we deduce some corollaries of the main results.
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