@article{Khan2023, 
author = {Mohammad Faisal Khan and Ahmad A. Abubaker and Suha B. Al-Shaikh and Khaled Matarneh},
title = {Some new applications of the quantum-difference operator on subclasses of multivalent    q-starlike and    q-convex functions associated with the Cardioid domain},
year = {2023},
journal = {AIMS Mathematics},
volume = {8},
number = {9},
pages = {21246-21269},
keywords = {analytic functions, univalent functions, quantum difference operator, q-starlike functions and q-convex functions, Fibonacci numbers, multivalent functions, cardioid domain},
url = {https://www.sciopen.com/article/10.3934/math.20231083},
doi = {10.3934/math.20231083},
abstract = {In this study, we consider the quantum difference operator to define new subclasses of multivalent    q-starlike and    q-convex functions associated with the cardioid domain. We investigate a number of interesting problems for functions that belong to these newly defined classes, such as bounds for the first two Taylor-Maclaurin coefficients, estimates for the Fekete-Szeg ö type functional, and coefficient inequalities. The important point of this article is that all the bounds that we have investigated are sharp. Many well-known corollaries are also presented to demonstrate the relationship between prior studies and the results of this article.}
}