CHEBYSHEV POLYNOMIALS AND BI-UNIVALENT FUNCTIONS ASSOCIATING WITH $q$-DERIVATIVE OPERATOR
n 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.
Authors
- G. Murugusundaramoorthy (ORCID: https://orcid.org/0000-0001-8285-6619)
- P. Nandini
- S. Latha (ORCID: https://orcid.org/0000-0002-1513-8163)
Publication Details
- Journal
- South East Asian J of Mathematics and Mathematical Sciences
- Published
- 2024-08-30
- DOI
- https://doi.org/10.56827/seajmms.2024.2002.11
- Primary Topic
- Mathematical functions and polynomials
- Type
- article
- Field-Weighted Citation Impact
- 0.00