Fekete-Szeg¨o Functional of Classes of Analytic Functions Involving the q-Derivative Operator

• Main Authors: Aini Janteng, Andy Liew Pik Hern, Rashidah Omar
• Format: Article
• Language: English; English
• Published: 2020
• Subjects: Q Science (General)
• Online Access: https://eprints.ums.edu.my/id/eprint/26449/1/Fekete-Szeg%C2%A8o%20Functional%20of%20Classes%20of%20Analytic%20Functions%20Involving%20the%20q-Derivative%20Operator.pdf; https://eprints.ums.edu.my/id/eprint/26449/2/Fekete-Szeg%C2%A8o%20Functional%20of%20Classes%20of%20Analytic%20Functions%20Involving%20the%20q-Derivative%20Operator1.pdf; https://eprints.ums.edu.my/id/eprint/26449/; https://doi.org/10.12988/ams.2020.914222
• Institution: Universiti Malaysia Sabah

Let A denote the class of functions which are analytic in the open unit disc U = {z ∈ C : |z| < 1}. In this paper, we introduce new classes of analytic functions involving q-derivative operator defined on U. Furthermore, we obtain the Fekete-Szeg¨o functional for functions f(z) belongs to these classes.