Work

Geometric Properties for Subclasses of Multivalent Analytic Functions Associated with q-Calculus Operator

Year: 2025

Type: article

Abstract: This paper presents new subclasses of multivalent analytic functions defined through the q-derivative operator and examines their inclusion properties. By employing the Jackson q-derivative, we construct generalized operators that encompass numerous previously established operators and provide a framework for defining new classes with distinctive analytic features. Our main results are derived using techniques from differential subordination theory for complex-valued functions of one variable. Some applications of Bernardi operator are discussed.

Source: Mathematics

DOI: 10.3390/math13233766

Authors: Ekram E. Ali, Rabha M. El-Ashwah, Abeer M. Albalahi, Rabab Sidaoui

Institutions: University of Ha'il, Damietta 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: University of Hail