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On Some Classes of Harmonic Functions Associated with the Janowski Function

Author

Listed:
  • Lina Ma

    (School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China
    Laboratory of Mathematics and Complex Systems, Chifeng University, Chifeng 024000, China)

  • Shuhai Li

    (School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China
    Laboratory of Mathematics and Complex Systems, Chifeng University, Chifeng 024000, China)

  • Huo Tang

    (School of Mathematics and Computer Sciences, Chifeng University, Chifeng 024000, China
    Laboratory of Mathematics and Complex Systems, Chifeng University, Chifeng 024000, China)

Abstract

In this paper, we introduce some classes of univalent harmonic functions with respect to the symmetric conjugate points by means of subordination, the analytic parts of which are reciprocal starlike (or convex) functions. Further, we discuss the geometric properties of the classes, such as the integral expression, coefficient estimation, distortion theorem, Jacobian estimation, growth estimates, and covering theorem.

Suggested Citation

  • 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.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:17:p:3666-:d:1224784
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    References listed on IDEAS

    as
    1. 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.
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    1. 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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