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The Distortion Theorems for Harmonic Mappings with Analytic Parts Convex or Starlike Functions of Order β

Mengkun Zhu, Xinzhong Huang

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Source: Crossref

Published: Jan 1, 2015

DOI: 10.1155/2015/460191

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Source abstract

Some sharp estimates of coefficients, distortion, and growth for harmonic mappings with analytic parts convex or starlike functions of order β are obtained. We also give area estimates and covering theorems. Our main results generalise those of Klimek and Michalski.

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The Distortion Theorems for Harmonic Mappings with Analytic Parts Convex or Starlike Functions of Order β — Mathematical Frontier Network