Corpus ID: 115157021

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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