Area distortion under some orientation preserving harmonic maps

Original Research Paper
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Abstract

We study the distortion of area under the class of orientation preserving harmonic maps into the unit disk and the class of harmonic univalent maps onto the unit disk.

Keywords

Hyperbolic metric Pseudo-hyperbolic metric Harmonic univalent map 

Mathematics Subject Classification

Primary 30C62 

Notes

Compliance with ethical standards

Conflict of interest

The authors declare no conflict of interest. The authors certify that they have NO affiliations with or involvement in any organization or entity with any financial interest, or non-financial interest in the subject matter or materials discussed in this manuscript.

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Copyright information

© Forum D'Analystes, Chennai 2018

Authors and Affiliations

  1. 1.Department of Mathematics and Statistics, College of Arts and SciencesAmerican University of SharjahSharjahUnited Arab Emirates

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