On a Certain Class of Bi-Univalent Functions in Connection with Gegenbauer Polynomials

Ayinla, Rasheed Olawale; Lasode, Ayotunde Olajide

doi:10.28919/cpr-pajm/3-5

Research article

On a Certain Class of Bi-Univalent Functions in Connection with Gegenbauer Polynomials

Rasheed Olawale Ayinla, Ayotunde Olajide Lasode

Abstract

Recent direction of studies shows that there is a kin connection between regular functions and orthogonal polynomials. In this paper, we study a new class of regular and bi-univalent functions that involve the familiar Gegenbauer polynomials. Some achieved results include some early coefficient bounds and the upper estimates for the Fekete-Szegö inequalities with real and complex parameters.

How to cite

R. O. Ayinla, A. O. Lasode, On a Certain Class of Bi-Univalent Functions in Connection with Gegenbauer Polynomials, Pan-Amer. J. Math. 3 (2024), 5. https://doi.org/10.28919/cpr-pajm/3-5

BibTeX

@article{Ayinla2024,
  author  = {Ayinla, Rasheed Olawale and Lasode, Ayotunde Olajide},
  title   = {On a Certain Class of Bi-Univalent Functions in Connection with Gegenbauer Polynomials},
  journal = {Pan-Amer. J. Math.},
  volume  = {3},
  year    = {2024},
  pages   = {5},
  doi     = {10.28919/cpr-pajm/3-5}
}