@article{Louati2024, 
author = {Hanen Louati and Afrah Al-Rezami and Erhan Deniz and Abdulbasit Darem and Robert Szasz},
title = {Application of  q-starlike and  q-convex functions under  (u,v)-symmetrical constraints},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {12},
pages = {33353-33364},
keywords = {analytic functions, q-calculus, (u, v)-symmetrical functions (ρ, q)-neighborhood, coefficient inequality},
url = {https://www.sciopen.com/article/10.3934/math.20241591},
doi = {10.3934/math.20241591},
abstract = {This research paper addressed a significant knowledge gap in the field of complex analysis by introducing a pioneering category of  q-starlike and  q-convex functions intricately interconnected with  (u,v)-symmetrical functions. Recognizing the limited exploration of these relationships in existing literature, the authors delved into the new classes  Sq(α,u,v) and  Tq(α,u,v). The main contribution of this work was the establishment of a framework that amalgamates  q-starlikeness and  q-convexity with the symmetry conditions imposed by  (u,v)-symmetrical functions. This comprehensive study include coefficient estimates, convolution conditions, and the properties underpinning the  (ρ,q)-neighborhood, thereby enriching the understanding of these novel function classes.}
}