Quasi-subordination for a subclass of non-Bazilevic functions connected with a q-derivative operator

Authors

  • Risikat Ayodeji Bello
    Department of Mathematics and Statistics, Kwara State University, PMB 1530, Malete, Kwara State, Nigeria
  • Ayotunde Olajide Lasode
    Department of Mathematics, Federal College of Education, PMB 11, Ilawe-Ekiti, Ekiti State, Nigeria
  • Rasheed Olawale Ayinla
    Department of Mathematics and Statistics, Kwara State University, PMB 1530, Malete, Kwara State, Nigeria
  • Adediran Dauda Adeshola
    Department of Mathematics and Statistics, Kwara State University, PMB 1530, Malete, Kwara State, Nigeria

Keywords:

Non-Bazilevic functions, Modified Opoola q-differential operator, q-calculus, Quasi-subordination, Fekete-Szego inequality

Abstract

This study examines a broad subclass of non-Bazileviˇc functions that includes several subclasses of q-bounded turning functions and q-Sakaguchi functions. We link the definition of the class with a modified Opoola q-derivative operator, quasi-subordination, and a few number of mathematical concepts such as q-calculus and infinite series formations. Among the achievements in this work are the estimates for the early upper coefficient bounds and the Fekete-Szego inequalities having complex parameters. In general, this unique class reduces to various recognized classes of non-Bazilevic functions when some of the parameters take values within their interval of definition.

Dimensions

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Published

2025-09-22

How to Cite

Quasi-subordination for a subclass of non-Bazilevic functions connected with a q-derivative operator. (2025). African Scientific Reports, 4(3), 326. https://doi.org/10.46481/asr.2025.4.3.326

Issue

Volume 4, Issue 3, December 2025

Section

MATHEMATICAL SCIENCES SECTION
Copyright & Licensing

Copyright (c) 2025 Risikat Ayodeji Bello, Ayotunde Olajide Lasode, Rasheed Olawale Ayinla, Adediran Dauda Adeshola

Creative Commons License

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

How to Cite

Quasi-subordination for a subclass of non-Bazilevic functions connected with a q-derivative operator. (2025). African Scientific Reports, 4(3), 326. https://doi.org/10.46481/asr.2025.4.3.326

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