On a certain subclass of analytic functions involving modified q-Opoola derivative operator

Document Type : Research Paper


Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi, 43600, Selangor, Malaysia



This paper introduces a new subclass in the open unit disc of analytic functions. It is mainly defined by the modified q-Opoola derivative operator. A coefficient inequality is obtained, and other properties like distortion and closure theorems are derived. Moreover, extreme points of the differential operator are also given. Additionally, Hadamard products (or convolution) of functions respective to the class are also included.


Articles in Press, Corrected Proof
Available Online from 07 March 2023
  • Receive Date: 28 November 2022
  • Revise Date: 16 February 2023
  • Accept Date: 24 February 2023
  • First Publish Date: 07 March 2023