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The Miller-Ross Poisson distribution and its applications to certain classes of bi-univalent functions related to Horadam polynomials

Authors :
Omar Alnajar
Osama Ogilat
Ala Amourah
Maslina Darus
Maryam Salem Alatawi
Source :
Heliyon, Vol 10, Iss 7, Pp e28302- (2024)
Publication Year :
2024
Publisher :
Elsevier, 2024.

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.

Details

Language :
English
ISSN :
24058440 and 61879800
Volume :
10
Issue :
7
Database :
Directory of Open Access Journals
Journal :
Heliyon
Publication Type :
Academic Journal
Accession number :
edsdoj.9289dc9b61834d618798009e24c396e8
Document Type :
article
Full Text :
https://doi.org/10.1016/j.heliyon.2024.e28302