Applications of q−Ultraspherical polynomials to bi-univalent functions defined by q−Saigo's fractional integral operators

Autor: Tariq Al-Hawary, Ala Amourah, Abdullah Alsoboh, Osama Ogilat, Irianto Harny, Maslina Darus
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 7, Pp 17063-17075 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2024828?viewType=HTML
Popis: This study established upper bounds for the second and third coefficients of analytical and bi-univalent functions belonging to a family of particular classes of analytic functions utilizing $ q- $Ultraspherical polynomials under $ q- $Saigo's fractional integral operator. We also discussed the Fekete-Szegö family function problem. As a result of the specialization of the parameters used in our main results, numerous novel outcomes were demonstrated.
Databáze: Directory of Open Access Journals