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Certain class of bi-univalent functions defined by quantum calculus operator associated with Faber polynomial
Journal article   Open access  Peer reviewed

Certain class of bi-univalent functions defined by quantum calculus operator associated with Faber polynomial

Sheza M. El-Deeb, Gangadharan Murugusundaramoorthy, Kaliyappan Vijaya, Alhanouf Alburaikan and Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, TN, India
AIMS mathematics, Vol.7(2), pp.2989-3005
01/01/2022
DOI: https://doi.org/10.3934/math.2022165

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we introduce a new class of bi-univalent functions defined in the open unit disc and connected with a q-convolution. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class by using Faber polynomial expansions, and we obtain an estimation for Fekete-Szego problem for this class.
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https://doi.org/10.3934/math.2022165View
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