Coefficient-Related Studies and Fekete-Szegö Type Inequalities for New Classes of Bi-Starlike and Bi-Convex Functions

Coefficient-Related Studies and Fekete-Szegö Type Inequalities for New Classes of Bi-Starlike and Bi-Convex Functions

In this paper, we define certain families SE*(ϑ) and CE(ϑ) of holomorphic and bi-univalent functions which are defined in the open unit disk U. We establish upper bounds for the initial Taylor–Maclaurin coefficients and Fekete–Szegö type inequalities for functions in these families.

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Veröffentlicht in:Symmetry (Basel) 2022-11, Vol.14 (11), p.2263
Hauptverfasser: Cotîrlǎ, Luminiţa-Ioana, Wanas, Abbas Kareem
Format: Artikel
Sprache:eng
Schlagworte:
bi-univalent function
Conflicts of interest
Convex analysis
Estimates
Fekete–Szegö functional
holomorphic function
Inequalities
Upper bounds
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Zusammenfassung:In this paper, we define certain families SE*(ϑ) and CE(ϑ) of holomorphic and bi-univalent functions which are defined in the open unit disk U. We establish upper bounds for the initial Taylor–Maclaurin coefficients and Fekete–Szegö type inequalities for functions in these families.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym14112263