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Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials

Author

Listed:
  • Chinnaswamy Abirami
  • Nanjundan Magesh
  • Jagadeesan Yamini

Abstract

The main purpose of this article is to make use of the Horadam polynomials and the generating function , in order to introduce three new subclasses of the bi-univalent function class For functions belonging to the defined classes, we then derive coefficient inequalities and the Fekete–Szegö inequalities. Some interesting observations of the results presented here are also discussed. We also provide relevant connections of our results with those considered in earlier investigations.

Suggested Citation

  • Chinnaswamy Abirami & Nanjundan Magesh & Jagadeesan Yamini, 2020. "Initial Bounds for Certain Classes of Bi-Univalent Functions Defined by Horadam Polynomials," Abstract and Applied Analysis, Hindawi, vol. 2020, pages 1-8, January.
    • Handle: RePEc:hin:jnlaaa:7391058
    DOI: 10.1155/2020/7391058
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    Cited by:

    1. Daniel Breaz & Abbas Kareem Wanas & Fethiye Müge Sakar & Seher Melike Aydoǧan, 2023. "On a Fekete–Szegö Problem Associated with Generalized Telephone Numbers," Mathematics, MDPI, vol. 11(15), pages 1-8, July.
    2. Abbas Kareem Wanas & Luminiţa-Ioana Cotîrlă, 2022. "Applications of ( M , N )-Lucas Polynomials on a Certain Family of Bi-Univalent Functions," Mathematics, MDPI, vol. 10(4), pages 1-11, February.

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