drsatyaprakash.singh@rsmams.org
Back to rsmams.org About SEAJMAMS For Authors Submit a Paper Contact Us
RSMAMS SEAJMAMS South East Asian Journal of Mathematics and Mathematical Sciences
Home Volume 20, Issue 2 Article
Research Article

CHEBYSHEV POLYNOMIALS AND BI-UNIVALENT FUNCTIONS ASSOCIATING WITH $q$-DERIVATIVE OPERATOR

P
P. Nandini Department of Mathematics, JSS Academy of Technical Education, Srinivaspura, Bengaluru - 560060, INDIA
S
S. Latha Department of Mathematics, JSS Academy of Technical Education, Srinivaspura, Bengaluru - 560060, INDIA
G
G. Murugusundaramoorthy Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology (Deemed to be University), Vellore 632014, Tamil Nadu, INDIA
Volume 20, Issue 2 Pages 143-154 August 30, 2024 144 downloads
Article overview

Abstract

In this paper, we introduce and investigate a new subclass of Bi-univalent functions defined in the open unit disk, associated with Chebyshev polynomials by applying $q$-derivative operator. Furthermore, We find estimates for the general Taylor-Maclaurin coefficients of the functions in this class and also we obtain an estimation for 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

30C45, 30C50.

Reference information

How to Cite

P. Nandini, S. Latha, G. Murugusundaramoorthy (2024). CHEBYSHEV POLYNOMIALS AND BI-UNIVALENT FUNCTIONS ASSOCIATING WITH $q$-DERIVATIVE OPERATOR. South East Asian Journal of Mathematics and Mathematical Sciences, 20(2), 143-154.
Back to this issue
Copied