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arXiv · 2505.04319

Sharp bounds for the growth and distortion of the analytic part of convex harmonic functions

María J. Martín
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Abstract

We obtain the sharp upper and lower bounds for the growth and distortion of the analytic parts $h$ of orientation-preserving harmonic mappings $f=h+\overline g$ (normalized in the standard way) that map the unit disk onto a convex domain.

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María J. Martín. 2025-05-07. Sharp bounds for the growth and distortion of the analytic part of convex harmonic functions. https://arxiv.org/abs/2505.04319

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