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

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 esti...

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Veröffentlicht in:Heliyon 2024-04, Vol.10 (7), p.e28302-e28302, Article e28302
Hauptverfasser: Alnajar, Omar, Ogilat, Osama, Amourah, Ala, Darus, Maslina, Alatawi, Maryam Salem
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Sprache:eng
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Zusammenfassung: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.
ISSN:2405-8440
2405-8440
DOI:10.1016/j.heliyon.2024.e28302