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article · Pan-American Journal of Mathematics

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

20241 citationOpen accessUniversity of Ilorin

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.

Research topics

  • Numerical methods in inverse problems
  • Differential Equations and Boundary Problems
  • Mathematical functions and polynomials

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DOI: 10.28919/cpr-pajm/3-5

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