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Fibonacci Numbers Related to Some Subclasses of Bi-Univalent Functions

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Listed:
  • Ala Amourah
  • Basem Aref Frasin
  • Jamal Salah
  • Tariq Al-Hawary
  • Mohamed A. Eltaher

Abstract

This research paper introduces the novel subclass ϒΣϑ,β,μq˜ of bi-univalent functions that are connected to Fibonacci numbers. Our main contributions in this study involve establishing constraints on the absolute values of the second coefficient a2 and the third coefficient a3 for functions within this specific subclass. In addition, we provide solutions to Fekete–Szegö functional problems. Furthermore, our investigation reveals intriguing outcomes resulting from the specific parameter values used in our main findings.

Suggested Citation

  • Ala Amourah & Basem Aref Frasin & Jamal Salah & Tariq Al-Hawary & Mohamed A. Eltaher, 2024. "Fibonacci Numbers Related to Some Subclasses of Bi-Univalent Functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2024, pages 1-9, June.
    • Handle: RePEc:hin:jijmms:8169496
    DOI: 10.1155/2024/8169496
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