A Family of Bi-Univalent Functions Defined by( p, q)-Derivative Operator Subordinate to a GeneralizedBivariate Fibonacci Polynomials

Authors

  • Basem Aref Frasin
  • Sondekola Rudra Swamy
  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman,
  • Jamal Salah
  • Ranjitha Hebbar Maheshwarappa

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i4.5526

Keywords:

$(p,q)$-derivative operator, Regular function, Fekete - Szeg\"o functional, Bi-univalent function, Bivariate Fibonacci Polynomials

Abstract

Making use of a generalized bivariate Fibonacci polynomials, we propose a family of normalized regular functions ψ(ζ) = ζ + d2ζ2 + d3ζ3 + · · · , which are bi-univalent in the disc {ζ ∈ C : |ζ| < 1} involving (p, q)-derivative operator. We find estimates on the coefficients |d2|, |d3| and the Fekete-Szeg¨o inequality for members of this family. New implications of the primary result as well as pertinent links to previously published findings are also provided.

Downloads

Published

2024-10-31

Issue

Section

Nonlinear Analysis

How to Cite

A Family of Bi-Univalent Functions Defined by( p, q)-Derivative Operator Subordinate to a GeneralizedBivariate Fibonacci Polynomials. (2024). European Journal of Pure and Applied Mathematics, 17(4), 3801-3814. https://doi.org/10.29020/nybg.ejpam.v17i4.5526