On Subclasses of Spiral‐Like Functions Defined by the q ‐Derivative Operator

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.