@article{Gong2024, 
author = {Jianhua Gong and Muhammad Ghaffar Khan and Hala Alaqad and Bilal Khan},
title = {Sharp inequalities for  q-starlike functions associated with differential subordination and  q-calculus},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {10},
pages = {28421-28446},
keywords = {analytic functions, univalent functions, starlike functions, q-starlike functions, q-derivative operator, differential subordination},
url = {https://www.sciopen.com/article/10.3934/math.20241379},
doi = {10.3934/math.20241379},
abstract = {This paper employs differential subordination and quantum calculus to investigate a new class of  q-starlike functions associated with an eight-like image domain. Our study laid a foundational understanding of the behavior of these  q-starlike functions. We derived the results in first-order differential subordination. We established sharp inequalities for the initial Taylor coefficients and provided optimal estimates for solving the Fekete-Szegö problem and a second-order Hankel determinant applicable to all  q-starlike functions in this class. Furthermore, we presented a series of corollaries that demonstrate the broader implications of our findings in geometric function theory.}
}