Affiliations 

  • 1 Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Malaysia
  • 2 Department of Basic Sciences, Faculty of Arts and Science, Al-Ahliyya Amman University, Amman 19328, Jordan
  • 3 Mathematics Education Program, Faculty of Education and Arts, Sohar University, Sohar 3111, Oman
  • 4 Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk 71491, Saudi Arabia
Heliyon, 2024 Apr 15;10(7):e28302.
PMID: 38689983 DOI: 10.1016/j.heliyon.2024.e28302

Abstract

Within the scope of this research, we introduce a novel category of bi-univalent functions. Horadam polynomials are utilized to characterize these functions by utilizing series from the Poisson distribution of the Miller-Ross type. Functions from these new categories have been used to construct estimates for the Fekete-Szego functional, as well as estimates of the Taylor-Maclaurin coefficients |l2| and |l3|. These projections were created for the methods in each of these brand-new subclasses. We made some additional discoveries after, focusing on the traits that contributed to our initial findings.

* Title and MeSH Headings from MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine.