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A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions
Journal article   Open access  Peer reviewed

A Generalization of Gegenbauer Polynomials and Bi-Univalent Functions

Ala Amourah, Abdullah Alsoboh, Osama Ogilat, Gharib Mousa Gharib, Rania Saadeh and Maha Al Soudi
Axioms, Vol.12(2), p.128
01/01/2023
DOI: https://doi.org/10.3390/axioms12020128

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
Three subclasses of analytic and bi-univalent functions are introduced through the use of q-Gegenbauer polynomials, which are a generalization of Gegenbauer polynomials. For functions falling within these subclasses, coefficient bounds |a(2)| and |a(3)| as well as Fekete-Szego inequalities are derived. Specializing the parameters used in our main results leads to a number of new results.
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https://doi.org/10.3390/axioms12020128View
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