Second Hankel Determinant for a New Subclass of Bi-Univalent Functions Related to the Hohlov Operator

Second Hankel Determinant for a New Subclass of Bi-Univalent Functions Related to the Hohlov Operator

A new subclass of bi-univalent functions associated with the Hohlov operator is introduced. Certain properties such as the coefficient bounds, Fekete-Szegö inequality and the second Hankel determinant for functions in the subclass are obtained. In particular, several known results are generalized.

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Veröffentlicht in:Axioms 2023-04, Vol.12 (5), p.433
Hauptverfasser: Liu, Likai, Zhai, Jie, Liu, Jin-Lin
Format: Artikel
Sprache:eng
Schlagworte:
analytic function
bi-univalent functions
Determinants
Fekete-Szegö inequality
Hankel determinant
Hohlov operator
Mathematical research
Operator theory
subordination
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Beschreibung
Zusammenfassung:A new subclass of bi-univalent functions associated with the Hohlov operator is introduced. Certain properties such as the coefficient bounds, Fekete-Szegö inequality and the second Hankel determinant for functions in the subclass are obtained. In particular, several known results are generalized.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12050433