Applications of (p, q)-Gegenbauer Polynomials on a Family of Bi-univalent Functions

  • Ezekiel Abiodun Oyekan Department of Mathematical Sciences, Olusegun Agagu University of Science and Technology, Okitipupa, Nigeria
  • Timothy Ayodele Olatunji School of Creative Technologies, University of Bolton, BL3 5AB, UK
  • Ayotunde Olajide Lasode Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Ilorin, Nigeria
DOI: https://doi.org/10.34198/ejms.12223.271284
Keywords: Analytic function, Schwarz function, (p, q)-Chebyshev polynomials, (p, q)-Gegenbauer polynomials, coefficient estimate, Fekete-Szegö problem, subordination

Abstract

In this work, we investigate the (p, q)-Gegenbauer polynomials for a class of analytic and bi-univalent functions defined in the open unit disk, with respect to subordination. We give an elementary proof to establish some estimates for the coefficient bounds for functions in the new class. We conclude the study by giving a result of the Fekete-Szegö theorem. A corollary was given to show some results of some subclasses of our new class.

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Published
2023-05-08
How to Cite
Oyekan, E. A., Olatunji, T. A., & Lasode, A. O. (2023). Applications of (p, q)-Gegenbauer Polynomials on a Family of Bi-univalent Functions. Earthline Journal of Mathematical Sciences, 12(2), 271-284. https://doi.org/10.34198/ejms.12223.271284
Issue
Vol 12 No 2 (2023)
Section
Articles


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