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

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  • Mengkun Zhu
  • Xinzhong Huang

Abstract

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

Suggested Citation

  • Mengkun Zhu & Xinzhong Huang, 2015. "The Distortion Theorems for Harmonic Mappings with Analytic Parts Convex or Starlike Functions of Order," Journal of Mathematics, Hindawi, vol. 2015, pages 1-6, October.
    • Handle: RePEc:hin:jjmath:460191
    DOI: 10.1155/2015/460191
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    Cited by:

    1. Lina Ma & Shuhai Li & Huo Tang, 2023. "On Some Classes of Harmonic Functions Associated with the Janowski Function," Mathematics, MDPI, vol. 11(17), pages 1-21, August.
    2. Lina Ma & Shuhai Li & Xiaomeng Niu, 2019. "Some Classes of Harmonic Mapping with a Symmetric Conjecture Point Defined by Subordination," Mathematics, MDPI, vol. 7(6), pages 1-18, June.

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