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

Andy Liew Pik Hern (Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Kota Kinabalu, 88400, Malaysia)
Aini Janteng (Faculty of Science and Natural Resources, Universiti Malaysia Sabah, Kota Kinabalu, 88400, Malaysia)
Rashidah Omar (Faculty of Computer and Mathematical Sciences, Universiti Teknologi Mara Cawangan Sabah, Kota Kinabalu, 88997, Malaysia)

Science and Technology Indonesia
Vol. 7 No. 3 (2022): July

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.