On Subclasses of Spiral‐Like Functions Defined by the q ‐Derivative Operator
Abstract
In 1990, Ismail et al. introduced a generalized class of starlike functions using the q ‐derivative operator. Similarly, many authors have studied various subclasses of analytic functions involving the q ‐derivative operator from different perspectives. This paper is aimed at presenting new subclasses of analytic and spiral‐like functions related to the Janowski function, defined by the q ‐derivative operator. Convolution characterizations, coefficient conditions, and other properties of these classes are also derived. Additionally, we discuss special cases and some useful corollaries of our main results.
Fields of Study & Subjects
Analytic and geometric function theory
Approximation Theory and Sequence Spaces
Mathematical Inequalities and Applications
Publication details
- Journal / source
- Journal of Function Spaces
- Volume
- 2026
- Issue
- 1
- Publication date
- 1 January 2026
- Language
- EN