Applications of q-Borel distribution series involving q-Gegenbauer polynomials to subclasses of bi-univalent functions

Autor: T. Al-Hawary, A. Alsoboh, A. Amourah, O. Ogilat, I. Harny, M. Darus
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: Heliyon, Vol 10, Iss 14, Pp e34187- (2024)
Druh dokumentu: article
ISSN: 2405-8440
DOI: 10.1016/j.heliyon.2024.e34187
Popis: This study introduces a new class of bi-univalent functions in the open disk using q-Borel distribution series and q-Gegenbauer polynomials. It provides estimates for the Taylor coefficients |μ2| and |μ3| for this family of functions, as well as solutions for the Fekete-Szegö functional problems associated with this subclass. The study presents various innovative findings that result from the unique parameters used in the main results.
Databáze: Directory of Open Access Journals