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}
}
• Published 2009
• Mathematics
• arXiv: Complex Variables
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
95 Citations

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