Coefficient Estimates for Certain Families of Analytic Functions Associated with Faber Polynomial

In this paper, we use the Faber polynomial expansion to obtain bounds for the general coefficients an of bi-univalent functions in the family of analytic functions in the open unit disk. Estimation of the bound value for the initial coefficients of the functions in these classes is also established.

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Bibliographic Details
Published in:Journal of function spaces 2023-02, Vol.2023, p.1-6
Main Authors: Attiya, Adel A., Albalahi, Abeer M., Hassan, Taher S.
Format: Article
Language:English
Subjects:
Analytic functions
Estimates
Graphs
Mathematical analysis
Polynomials
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Summary:In this paper, we use the Faber polynomial expansion to obtain bounds for the general coefficients an of bi-univalent functions in the family of analytic functions in the open unit disk. Estimation of the bound value for the initial coefficients of the functions in these classes is also established.
ISSN:2314-8896
2314-8888
DOI:10.1155/2023/4741056