The Relationship of Borel Distribution and Horadam Polynomials Leads to Analytical Bi-Univalent Functions

Authors

  • Omar Alnajar Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia
  • Omar Khabour Department of Curricula and Methods of Teaching Mathematics Education Program, Faculty of Education Sciences, The University of Jordan, Amman 11942, Jordan
  • Ala Amourah Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman
  • Maslina Darus Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5929

Keywords:

Borel distribution, Bi-univalent functions, analytic function, FeketeSzeg¨o problem

Abstract

 The Borel distribution is a practical and applicable model for a wide range of real-world applications. Using the Borel distribution as a foundation, we create a novel subclass of analytic bi-univalent functions in this study. We employ these functions, which involve the ultraspherical polynomials, to create our new subclass. For functions that fall within the constructed class,
we investigate alternative estimations of the Maclaurin coefficients and solve the Fekete-Szego functional problem. 

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Complex Analysis

License

Copyright (c) 2025 Omar Alnajar, Omar Khabour, Ala Amourah, Maslina Darus

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How to Cite

The Relationship of Borel Distribution and Horadam Polynomials Leads to Analytical Bi-Univalent Functions. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5929. https://doi.org/10.29020/nybg.ejpam.v18i2.5929