A Class of Bi-Univalent Functions Associated with Shell-Like Geometries and the q-Fibonacci Analogue

Authors

  • Abdullah Alsoboh College of Applied and Health Sciences, A’Sharqiyah University, Post Box No. 42, Post Code No. 400, Ibra, Sultanate of Oman
  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman,
  • Abdullrahman Al-Maqbali College of Applied and Health Sciences, A’Sharqiyah University, Post Box No. 42, Post Code No. 400, Ibra, Sultanate of Oman
  • Omar Alnajar
  • Feras Awad
  • Tala Sasa

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6689

Keywords:

Starlike class, Fekete- Szeg¨o functional;, Shell-like curves, univalent functions;

Abstract

Using the subordination principle, this study explores two subclasses of bi-univalent functions associated with shell-like curves via the q-analogue of Fibonacci numbers, namely the starlike and convex classes. We derive coefficient bounds for the initial terms of these function classes and establish the corresponding Fekete-Szeg¨o inequalities. Our findings contribute to the advancement of biunivalent function theory and its interaction with special function spaces.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Complex Analysis

License

Copyright (c) 2025 Abdullah Alsoboh, Ala Amourah, Abdullrahman Al-Maqbali, Omar Alnajar, Feras Awad, Tala Sasa

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How to Cite

A Class of Bi-Univalent Functions Associated with Shell-Like Geometries and the q-Fibonacci Analogue. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6689. https://doi.org/10.29020/nybg.ejpam.v18i4.6689