On some criteria for the univalence of analytic functions

Criteria for the univalence of functions $f(z)$ which are regular in the domain $|z|<1$ are obtained in the form of restrictions on the modulus of the quotient $f''(z)[f'(z)]^{-1}$. Analogous results are obtained also for functions which are analytic in the interior of the unit disk except for a simple pole at infinity.