International Journal of Analysis and Applications | 2026
Authors: Alsoboh A.; Amourah A.; Al Kasbi A.; Salah J.; Malkawi A.A.-R.; Sasa T.
DOI: 10.28924/2291-8639-24-2026-78
Journal: International Journal of Analysis and Applications
Year: 2026
Publisher: Etamaths Publishing
Document Type: Article
Open Access: All Open Access; Gold Open Access
Cited by: 0
Inspired by the deep connection between q–calculus and geometric function theory, this study introduces and examines a novel subclass of bi-univalent functions generated through an operator constructed from the q–Wright function and subordinated to the q–analogue of Fibonacci numbers. The core contribution lies in formulating a new q–differential operator defined via convolution with kernels involving the q–Wright function. Employing the subordination principle, the bounds are derived for the initial Taylor–Maclaurin coefficients |a2 | and |a3 |, along with corresponding Fekete–Szegö type inequalities for the defined class. The presented results not only unify but also generalize various recent developments in the theory of bi-univalent functions, emphasizing the pivotal influence of q–special functions in constructing new analytic frameworks. Consequently, the findings enhance the theoretical understanding of bi-univalent mappings and open avenues for further exploration in operator theory, convolution techniques, and the broader application of q–calculus within complex analysis. © 2026 the author(s).
bi-univalent functions; Fekete–Szegö functional; Fibonacci sequence; q-calculus; q-Wright functions