4.3 Article

A subclass of close-to-convex harmonic mappings

Journal

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS
Volume 59, Issue 2, Pages 204-216

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/17476933.2012.727409

Keywords

univalent harmonic mappings; starlike; convex; close-to-convex; coefficient estimates; growth estimate; area theorem; convolution; convex combination

Categories

Funding

  1. Council of Scientific and Industrial Research, New Delhi

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A subclass of complex-valued close-to-convex harmonic functions that are univalent and sense-preserving in the open unit disc is investigated. The coefficient estimates, growth results, area theorem, boundary behaviour, convolution and convex combination properties for the above family of harmonic functions are obtained.

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