Applications of Caputo-Type Fractional Derivatives for Subclasses of Bi-Univalent Functions with Bounded Boundary Rotation

Autor:	Kholood M. Alsager, Gangadharan Murugusundaramoorthy, Adriana Catas, Sheza M. El-Deeb
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	analytic bi-univalent Caputo-type fractional derivatives bounded boundary rotation coefficient estimates Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 8, Iss 9, p 501 (2024)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract8090501
Popis:	In this article, for the first time by using Caputo-type fractional derivatives, we introduce three new subclasses of bi-univalent functions associated with bounded boundary rotation in an open unit disk to obtain non-sharp estimates of the first two Taylor–Maclaurin coefficients, |a2| and |a3|. Furthermore, the famous Fekete–Szegö inequality is obtained for the newly defined subclasses of bi-univalent functions. Several consequences of our results are pointed out which are new and not yet discussed in association with bounded boundary rotation. Some improved results when compared with those already available in the literature are also stated as corollaries.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/1f38e57f1b0d4b8a8e50e66821d82ef3 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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