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

Authors

  • Omar Alnajar
  • Ala Amourah Department of Mathematics, Faculty of Education and Arts, Sohar University, Sohar 3111, Sultanate of Oman,
  • Abdullah Alsoboh
  • Abed Al-Rahman M. Malkawi
  • Ahmed Al Kasbi
  • Tala Sasa

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

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Section

Research Articles

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