A subclass of Bazilevic functions associated with combination of Opoola and Swamy operators and satisfying subordinate condition

Authors

  • Sondekola Rudra Swamy Department of Computer Science and Engineering, RV College of Engineering, India.
  • Ezekiel Abiodun Oyekan Department of Mathematical Sciences, Olusegun Agagu University of Science and Technology, Nigeria
  • Peter Oluwafemi Adepoju Department of Mathematical Sciences, Olusegun Agagu University of Science and Technology, Nigeria
  • Ayotunde Lasode Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Nigeria

Keywords:

Analytic functions, Bazilevic functions, Fekete-Szego inequality, Horadam polynomials, Opoola differential operator

Abstract

This investigation involves the application of Horadam polynomials and subordination to a subclass of Bazilevic functions of type alpha for the purpose of obtaining some initial bounds of the class. In addition, the famous classical Fekete-Szego inequality for our new class is established. Furthermore, the connections between our results with some existing results are stated as corollaries.

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Published

2023-08-26

Issue

Vol. 17 (2023)

Section

Articles

License

Copyright (c) 2023 Annals of Mathematics and Computer Science

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.