Heliyon (Apr 2024)

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

  • Omar Alnajar,
  • Osama Ogilat,
  • Ala Amourah,
  • Maslina Darus,
  • Maryam Salem Alatawi

Journal volume & issue
Vol. 10, no. 7
p. e28302

Abstract

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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.

Keywords