Work

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

Year: 2026

Type: article

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.

Source: Mathematics

DOI: 10.3390/math14020382

Authors: Feras Yousef, Tariq Al-Hawary, Mohammad El-Ityan, Ibtisam Aldawish

Institutions: University of Jordan, Al-Balqa Applied University, Imam Mohammad ibn Saud Islamic University

Language: English

Topic: Analytic and geometric function theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

Funder: Deanship of Scientific Research, Imam Mohammed Ibn Saud Islamic University