# Neighborhoods of univalent functions

@article{Pascu2009NeighborhoodsOU, title={Neighborhoods of univalent functions}, author={M. Pascu and N. Pascu}, journal={arXiv: Complex Variables}, year={2009} }

The main result shows a small perturbation of a univalent function is again a univalent function, hence a univalent function has a neighborhood consisting entirely of univalent functions.
For the particular choice of a linear function in the hypothesis of the main theorem, we obtain a corollary which is equivalent to the classical Noshiro-Warschawski-Wolff univalence criterion.
We also present an application of the main result in terms of Taylor series, and we show that the hypothesis of our… Expand

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