Certain new subclasses of bi-univalent function associated with bounded boundary rotation involving sǎlǎgean derivative

Autor: Anandan Murugan, Sheza M. El-Deeb, Mariam Redn Almutiri, Jong-Suk-Ro, Prathviraj Sharma, Srikandan Sivasubramanian
Jazyk: angličtina
Rok vydání: 2024
Předmět:
Zdroj: AIMS Mathematics, Vol 9, Iss 10, Pp 27577-27592 (2024)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.20241339?viewType=HTML
Popis: In this article, using the Sǎlǎgean operator, we introduced three new subclasses of bi-univalent functions associated with bounded boundary rotation in open unit disk $ \mathbb{E}. $ For these new classes, we first obtain initial Taylor-Maclaurin's coefficient bounds. Furthermore, the famous Fekete-Szegö inequality was also derived for these new subclass functions. Some improved results, when compared with those available in the literature, are also stated.
Databáze: Directory of Open Access Journals