@article{Alanazi2025, 
author = {Faizah D Alanazi and Fuad Alsarari},
title = {Geometric convolution characteristics of    q-Janowski type functions related to    (  j  ,  k  )-symmetrical functions},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {3},
pages = {6652-6663},
keywords = {quantum calculus, analytic functions, Hadamard product, q-starlike functions, (x, y)-symmetrical functions, q-convex functions},
url = {https://www.sciopen.com/article/10.3934/math.2025304},
doi = {10.3934/math.2025304},
abstract = {In this paper, we investigate the properties of functions belonging to the classes    ψ  (  η  )  ∈                    T        ¯              q          j      ,      k        (  A  ,  B  ) and    ψ  (  η  )  ∈                    K        ¯              q          j      ,      k        (  A  ,  B  ), these functions are defined within the context of    q-calculus and    (  j  ,  k  )-symmetrical functions. We employ convolution techniques and quantum calculus to explore the convolution conditions, which will serve as foundational results for further studies in our work Furthermore, we establish conditions for membership in    ψ  (  η  )  ∈                    T        ¯              q          j      ,      k        (  A  ,  B  ) and present an example demonstrating the application of these results to rational functions.}
}