The Neutrosophic Poisson Distribution Applied to Horadam Polynomial-Subordinate Bi-Univalent Functions

Authors

  • Omar Alnajar Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia
  • Khalid Alshammari Department of Mathematical, College of Sciences, Faculty of Science and Technology, University of Ha’il, Ha’il 55425 , Saudi Arabia
  • Ala Amourah Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i2.5955

Keywords:

Horadam polynomials, bi-univalent functions, analytic functions, Fekete-Szeg\"{o} problem

Abstract

In the open unit disk, we introduce a new subclass of analytic and bi-univalent functions described by the Neutrosophic Poisson distribution series. The estimates for the Fekete--Szeg\"{o} type and the Taylor coefficients. Then, using the Horadam polynomials, the inequalities corresponding to the functions that belong to this recently discovered subclass are investigated. Along with some corollaries, we also go over the implications of the findings presented in this essay. Numerous branches of mathematics, science, and technology are anticipated to heavily rely on the neutrophilic Poisson distribution.

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Published

2025-05-01

Issue

Vol. 18 No. 2: (April 2025)

Section

Complex Analysis

License

Copyright (c) 2025 Omar Alnajar, Khalid Alshammari, Ala Amourah

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How to Cite

The Neutrosophic Poisson Distribution Applied to Horadam Polynomial-Subordinate Bi-Univalent Functions. (2025). European Journal of Pure and Applied Mathematics, 18(2), 5955. https://doi.org/10.29020/nybg.ejpam.v18i2.5955