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Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials

Author

Listed:
  • Abdulmtalb Hussen

    (School of Engineering, Math and Technology, Navajo Technical University, Lowerpoint Rd State Hwy 371, Crownpoint, NM 87313, USA)

  • Mohamed Illafe

    (School of Engineering, Math and Technology, Navajo Technical University, Lowerpoint Rd State Hwy 371, Crownpoint, NM 87313, USA)

Abstract

In this paper, we introduce a new subclass of bi-univalent functions defined using Lucas-Balancing polynomials. For functions in each of these bi-univalent function subclasses, we derive estimates for the Taylor–Maclaurin coefficients a 2 and a 3 and address the Fekete–Szegö functional problems for functions belonging to this new subclass. We demonstrate that several new results can be derived by specializing the parameters in our main findings. The results obtained from this study will enrich the theoretical foundation of this field and open new avenues for mathematical inquiry and application.

Suggested Citation

  • Abdulmtalb Hussen & Mohamed Illafe, 2023. "Coefficient Bounds for a Certain Subclass of Bi-Univalent Functions Associated with Lucas-Balancing Polynomials," Mathematics, MDPI, vol. 11(24), pages 1-8, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:24:p:4941-:d:1298987
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    References listed on IDEAS

    as
    1. Tariq Al-Hawary & Ibtisam Aldawish & Basem Aref Frasin & Osama Alkam & Feras Yousef, 2022. "Necessary and Sufficient Conditions for Normalized Wright Functions to Be in Certain Classes of Analytic Functions," Mathematics, MDPI, vol. 10(24), pages 1-11, December.
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