Abstract : We consider the univalence function classes $\mathcal{T}$, $\mathcal{T}_{2}$, $\mathcal{T}_{2,\mu}$, and $\mathcal{S}(p)$. For these classes we shall study some univalence properties for a general integral operator. Furthermore we shall extend some known univalence criteria, i.e., Becker-type criteria.
Keywords : analytic functions, integral operator, univalent function