The aim of this paper is to obtain some univalence criteria in connection with integral operators due to E.Cazacu, S.Moldovan and N.N.Pascu. Thus we use another univalence criterion which is based of the well-known Becker's criterion but it does't depend of \z\. For this reason these are easily used for practical applications.
In this paper a sufficient univalence criterion is given (Theorem 1). This result is an essential generalization of the well-known univalence criterions.
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