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A New Comprehensive Subclass of Analytic Bi-Univalent Functions Related to Gegenbauer Polynomials.

Authors :
Al-Hawary, Tariq
Amourah, Ala
Alsoboh, Abdullah
Alsalhi, Omar
Source :
Symmetry (20738994). Mar2023, Vol. 15 Issue 3, p576. 11p.
Publication Year :
2023

Abstract

In the current study, we provide a novel qualitative new subclass of analytical and bi-univalent functions in the symmetry domain U defined by the use of Gegenbauer polynomials. We derive estimates for the Fekete–Szegö functional problems and the Taylor–Maclaurin coefficients a 2 and a 3 for the functions that belong to each of these new subclasses of the bi-univalent function classes. Some more results are revealed after concentrating on the parameters employed in our main results. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
20738994
Volume :
15
Issue :
3
Database :
Academic Search Index
Journal :
Symmetry (20738994)
Publication Type :
Academic Journal
Accession number :
162834388
Full Text :
https://doi.org/10.3390/sym15030576