Euler Polynomials and Bi-univalent Functions

Authors

  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman,
  • Dunia Jarwan
  • Jamal Salah
  • M. J. Mohammed
  • S. A. Meqdad
  • Nidal Anakira

DOI:

https://doi.org/10.29020/nybg.ejpam.v17i3.5314

Keywords:

Analytic functions, Bi-univalent functions, Euler polynomials, Fekete-Szeg¨o problem

Abstract

Our research introduces new subclasses of analytical functions that are defined by Euler polynomials. We then proceed to estimate the Fekete-Szego functional problem and the Maclaurin coefficients for this specific subfamily, denoted as |a2| and |a3|. Furthermore, we demonstrate several new results that emerge when we specialize the parameters used in our main findings.

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Published

2024-07-31

Issue

Section

Nonlinear Analysis

How to Cite

Euler Polynomials and Bi-univalent Functions. (2024). European Journal of Pure and Applied Mathematics, 17(3), 1948-1958. https://doi.org/10.29020/nybg.ejpam.v17i3.5314