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Paper detail

Construction of subclasses of univalent harmonic mappings

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.

preprint2012arXivOpen access
Sumit NagpalV. Ravichandran
math.CV
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Sumit NagpalV. Ravichandran

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