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 recently obtained results and improve or enhance specific ones.

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Publication Details

Journal
Axioms
Published
2024-11-24
DOI
https://doi.org/10.3390/axioms13120819
Citations
2
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
2.02

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article

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

G. Murugusundaramoorthy, Borhen Halouani, Ibrahim S. Elshazly, Alaa H. El-Qadeem et al.
2 citations
Axioms
Analytic and geometric function theory
2.02
article

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

G. Murugusundaramoorthy, Borhen Halouani, Ibrahim S. Elshazly, Alaa H. El-Qadeem, Mohamed A. Mamon
article en
2 citations

Abstract

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.

AxiomsVol. 13(12)
Zagazig University (EG), Tanta University (EG), King Saud University (SA), Vellore Institute of Technology University (IN)
King Saud University
Openalex Percentile: Top 13%
Analytic and geometric function theory
2.02
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