A generalised bivariate Fibonacci-like polynomial and a new subclass of bi-univalent functions with Neutrosophic Poisson distribution

Authors

  • Omar Alnajar Department of Mathematics, Faculty of Science and Technology, Irbid National University, P.O. Box 2600, Irbid 21110, Jordan
  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman; Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman 11953, Jordan
  • Abdullah Alsoboh College of Applied and Health Sciences, A’Sharqiyah University, P.O. Box 42, Post Code 400, Ibra, Sultanate of Oman
  • Abed Al-Rahman M. Malkawi Department of Mathematics, Faculty of Arts and Science, Amman Arab University, Amman 11953, Jordan
  • Ahmed Al Kasbi College of Applied and Health Sciences, A’Sharqiyah University, P.O. Box 42, Post Code 400, Ibra, Sultanate of Oman
  • Tala Sasa Department of Mathematics, Faculty of Science, Applied Science Private University, Amman, Jordan

DOI:

https://doi.org/10.19139/soic-2310-5070-3455

Keywords:

Generalized bivariate Fibonacci-like Polynomial, bi-univalent functions, regular functions, Fekete-Szeg

Abstract

A new subclass of bi-univalent functions is introduced in this paper through the use of the Neutrosophic Poisson Distribution and the creation of generalised bivariate Fibonacci-like polynomials. These polynomials include Horadam and Chebyshev. The first Taylor-Maclaurin coefficients of these functions are identified, and bounds for those coefficients are established. Additionally, the well-known Fekete-Szegő problem and its implications for these subclasses are investigated in this paper. Furthermore, several observations are taken for particular values of the variables, which allow for a more in-depth understanding of the characteristics of this newly created subclass.

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Published

2026-08-04

How to Cite

Omar Alnajar, Amourah, A., Abdullah Alsoboh, Abed Al-Rahman M. Malkawi, Ahmed Al Kasbi, & Tala Sasa. (2026). A generalised bivariate Fibonacci-like polynomial and a new subclass of bi-univalent functions with Neutrosophic Poisson distribution. Statistics, Optimization & Information Computing. https://doi.org/10.19139/soic-2310-5070-3455

Issue

Online First

Section

Research Articles

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Copyright (c) 2026 Omar Alnajar, Ala Amourah, Abdullah Alsoboh, Abed Al-Rahman M. Malkawi, Ahmed Al Kasbi, Tala Sasa

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