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arXiv · 1209.0075

Construction of subclasses of univalent harmonic mappings

Sumit Nagpal·V. Ravichandran
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Abstract

Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk are widely studied. A new methodology is employed to construct subclasses of univalent harmonic mappings from a given subfamily of univalent analytic functions. The notion of harmonic Alexander integral operator is introduced. Also, the radius of convexity for certain families of harmonic functions is determined.

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Sumit Nagpal, V. Ravichandran. 2012-09-01. Construction of subclasses of univalent harmonic mappings. https://arxiv.org/abs/1209.0075

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