Geodesic
On some criteria for the univalence of analytic functions
Matematičeskie zametki, Tome 13 (1973) no. 3, pp. 359-366

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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. 
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     author = {S. N. Kudryashov},
     title = {On some criteria for the univalence of analytic functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {359--366},
     publisher = {mathdoc},
     volume = {13},
     number = {3},
     year = {1973},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a3/}
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S. N. Kudryashov. On some criteria for the univalence of analytic functions. Matematičeskie zametki, Tome 13 (1973) no. 3, pp. 359-366. http://geodesic.mathdoc.fr/item/MZM_1973_13_3_a3/