EXPLORING ?-FIBONACCI NUMBERS IN GEOMETRIC FUNCTION THEORY: UNIVALENCE AND SHELL-LIKE CONVEX CURVES

Authors

  • Abdullah Alsoboh College of Applied and Health Sciences, A'Sharqiyah University
  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University
  • Elarbi Elkaroui BCM/IEM program, Faculty of resilience - Rabdan Academy
  • Omar Alnajar Department of Mathematics, Faculty of Science and Technology, Irbid National University
  • Abed Al-Rahman M. Malkawi Department of Mathematics, Faculty of Arts and Science, Amman Arab University
  • Tala Sasa Department of Mathematics, Faculty of Science, Applied Science Private University

Abstract

This paper presents a new subclass of convex functions associated with q-Fibonacci numbers, which is closely connected to shell-like starlike curves. Using the prin-ciple of subordination and exploiting the inherent properties of ?-Fibonacci sequences, weperform a detailed investigation of the geometric and analytic features of this subclass. Inparticular, we identify the ranges of univalence and non-univalence for certain functions be-longing to this class and clarify their relationship with previously known families of convexfunctions.

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Published

2026-08-30

Issue

Volume 31, Number 3, September 2026

Section

Articles