Second Hankel Determinant Bound Application to Certain Family of Bi-Univalent Functions

Second Hankel Determinant Bound Application to Certain Family of Bi-Univalent Functions

A novel family of bi-univalent holomorphic functions is introduced by the use of the Lindelöf principle. The upper bound of the second Hankel determinant, H2,2(χ), is evaluated. Furthermore, specific results are obtained as special cases of the main conclusion. These cases coincide with certain rece...

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Veröffentlicht in:Axioms 2024-12, Vol.13 (12), p.819
Hauptverfasser: Mamon, Mohamed A., Halouani, Borhen, Elshazly, Ibrahim S., Murugusundaramoorthy, Gangadharan, El-Qadeem, Alaa H.
Format: Artikel
Sprache:eng
Schlagworte:
Analytic functions
bi-univalent
Hankel determinant
holomorphic
Investigations
Lindelöf principle
univalent
Upper bounds
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Zusammenfassung:A novel family of bi-univalent holomorphic functions is introduced by the use of the Lindelöf principle. The upper bound of the second Hankel determinant, H2,2(χ), is evaluated. Furthermore, specific results are obtained as special cases of the main conclusion. These cases coincide with certain recently obtained results and improve or enhance specific ones.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms13120819