Subclasses of Analytic Functions with Negative Coefficients Involving q-Derivative Operator

• Main Authors: Liew, Andy Pik Hern, Aini Janteng, Rashidah Omar
• Format: Article
• Language: English; English
• Published: Research Center of Inorganic Materials and Coordination Complexes, FMIPA Universitas Sriwijaya 2022
• Subjects: QA299.6-433 Analysis
• Online Access: https://eprints.ums.edu.my/id/eprint/34339/1/Abstract.pdf; https://eprints.ums.edu.my/id/eprint/34339/2/Full%20text.pdf; https://eprints.ums.edu.my/id/eprint/34339/; https://sciencetechindonesia.com/index.php/jsti/article/view/495/253; https://doi.org/10.26554/sti.2022.7.3.327-332

Let A denote the class of functions f which are analytic in the open unit disk U. The subclass of A consisting of univalent functions is denoted by M. In this paper, we also consider a subclass of M which is denoted by V, consisting of functions with negative coefficients. In addition, this paper also studies the q-derivative operator. By combining the ideas, this paper introduced three subclasses of A with negative coefficients involving q-derivative. Furthermore, the coefficient estimates, growth results and extreme points were obtained for all of these classes.