Novel Bi-Univalent Subclasses Generated by the q-Analogue of the Ruscheweyh Operator and Hermite Polynomials

Mathematics 2026 Open access

Read full text
Authors: Feras Yousef, Tariq Al-Hawary, Mohammad El-Ityan, Ibtisam Aldawish
DOI: 10.3390/math14020382
Cited by: 3
References: 27

Abstract

This work introduces new bi-univalent function classes defined using the fractional q-Ruscheweyh operator and characterized by subordination to q-Hermite polynomials. We derive coefficient bounds and Fekete–Szegö inequalities for these classes and show that our results generalize several earlier findings in both the classical and q-analytic settings. The approach highlights the effectiveness of q-Hermite structures in analyzing operator-defined subclasses of bi-univalent functions.

Fields of Study & Subjects

Analytic and geometric function theory Mathematical functions and polynomials Approximation Theory and Sequence Spaces

Publication details

Journal / source
Mathematics
Publisher
MDPI AG
Volume
14
Issue
2
Pages
382–382
Publication date
22 January 2026
Language
EN