@article{Abubaker2024, 
author = {Ahmad A. Abubaker and Khaled Matarneh and Mohammad Faisal Khan and Suha B. Al-Shaikh and Mustafa Kamal},
title = {Study of quantum calculus for a new subclass of    q-starlike bi-univalent functions connected with vertical strip domain},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {5},
pages = {11789-11804},
keywords = {analytic functions, bi-univalent functions, quantum-calculus, vertical strip domain, q-starlike functions, subordination, q-difference operator},
url = {https://www.sciopen.com/article/10.3934/math.2024577},
doi = {10.3934/math.2024577},
abstract = {In this study, using the ideas of subordination and the quantum-difference operator, we established a new subclass              S              ∗            (          δ      ,      σ      ,      q        )   of    q-starlike functions and the subclass              S              Σ              ∗            (          δ      ,      σ      ,      q        )   of    q-starlike bi-univalent functions associated with the vertical strip domain. We examined sharp bounds for the first two Taylor-Maclaurin coefficients, sharp Fekete-Szegö type problems, and coefficient inequalities for the function    h that belong to              S              ∗            (          δ      ,      σ      ,      q        )  , as well as sharp bounds for the inverse function    h that belong to              S              ∗            (          δ      ,      σ      ,      q        )  . We also investigated some results for the class of bi-univalent functions              S              Σ              ∗            (          δ      ,      σ      ,      q        )   and well-known corollaries were also highlighted to show connections between previous results and the findings of this paper.}
}