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Coefficient Problems for a Class of Univalent Functions

Author

Listed:
  • Dong Guo

    (School of Mathematical Sciences, Yangzhou Polytechnic College, Yangzhou 225009, China)

  • Huo Tang

    (College of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China)

  • Zongtao Li

    (Faculty of Humanities and Social Sciences, Guangzhou Civil Aviation College, Guangzhou 510403, China)

  • Qingbing Xu

    (Department of Basic Disciplines, Chuzhou Polytechnic College, Chuzhou 239000, China)

  • En Ao

    (College of Mathematics and Computer Science, Chifeng University, Chifeng 024000, China)

Abstract

In this paper, a new subclass has been defined as Ω of the univalent function in D = { z ∈ C : | z | < 1 } . The central goal of this paper is to determine estimates for logarithmic coefficients, inverse logarithmic coefficients, some cases of the Hankel determinant and Zalcman functionals J n , m of inverse functions.

Suggested Citation

  • Dong Guo & Huo Tang & Zongtao Li & Qingbing Xu & En Ao, 2023. "Coefficient Problems for a Class of Univalent Functions," Mathematics, MDPI, vol. 11(8), pages 1-14, April.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:8:p:1835-:d:1122072
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    References listed on IDEAS

    as
    1. Oh Sang Kwon & Young Jae Sim, 2019. "The Sharp Bound of the Hankel Determinant of the Third Kind for Starlike Functions with Real Coefficients," Mathematics, MDPI, vol. 7(8), pages 1-14, August.
    2. Paweł Zaprawa & Anna Futa & Magdalena Jastrzębska, 2020. "On Coefficient Functionals for Functions with Coefficients Bounded by 1," Mathematics, MDPI, vol. 8(4), pages 1-14, April.
    Full references (including those not matched with items on IDEAS)

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