Article overview
Abstract
In this paper, by making use of $ q$-derivative, we define a new subclass of analytic and bi-univalent functions related to Horadam polynomials. For functions belonging to this class, we derive coefficient inequalities and the Fekete-Szeg$\ddot{o}$ inequalities. We also provide relevant connections of our results with those considered in earlier investigations.
Keywords and Phrases
Univalent and Bi-univalent functionsFekete-Szeg$\ddot{o}$ inequalityHoradam polynomials and $q$-derivative.
AMS Subject Classification
52A40.
Reference information
How to Cite
P. Nandini, S. Latha (2022). CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS RELATED TO HORADAM POLYNOMIALS ASSOCIATED WITH $ q $-DERIVATIVE. South East Asian Journal of Mathematics and Mathematical Sciences, 18(3), 153-160.