q -Janowski type close-to-convex functions associated with a convolution operator

In this paper, we will discuss some generalized sub-classes of analytic function related with close-to-convex functions in conic domains by using \(q\) -calculus. We investigate important properties such as necessary and sufficient conditions, coefficient estimates, convolution results, linear combination, weighted mean, arithmetic radii star likeness growth distortion for these classes. It is to mention that our results are a generalization several existing results.