A CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH CHEBYSHEV POLYNOMIALS

P. Nandini; S. Latha

doi:https://doi.org/10.56827/SEAJMMS.2024.2001.6

P. Nandini Department of Mathematics, JSS Academy of Technical Education, Srinivaspura, Bengaluru - 560060, Karnataka, INDIA

S. Latha Department of Mathematics, JSS Academy of Technical Education, Srinivaspura, Bengaluru - 560060, Karnataka, INDIA

Volume 20, Issue 1 Pages 71-80 April 30, 2024 125 downloads

Article overview

Abstract

In the present work, we investigate a new subclass of bi-univalent functions by applying the $q$-derivative operator associated with Chebyshev polynomials. We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class and also obtain an estimation for the Fekete-Szeg$\ddot{o}$ problem for this class.

Keywords and Phrases

Analytic functionsUnivalent and Bi-univalent functionsFekete-Szeg$\ddot{o}$ inequalityChebyshev polynomials and $q$-derivative operator.

AMS Subject Classification

Primary 30C45, Secondary 30C50.

Reference information

How to Cite

P. Nandini, S. Latha (2024). A CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS ASSOCIATED WITH CHEBYSHEV POLYNOMIALS. South East Asian Journal of Mathematics and Mathematical Sciences, 20(1), 71-80.

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