CERTAIN SUBCLASS OF BI-UNIVALENT FUNCTIONS RELATED TO HORADAM POLYNOMIALS ASSOCIATED WITH $ q $-DERIVATIVE

Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 123

Volume : 18 , Issue : 3
DOI: https://doi.org/10.56827/SEAJMMS.2022.1803.12
Author :
P. Nandini (Department of Mathematics, JSS Academy of Technical Education, Srinivaspura, Bengaluru - 560060, INDIA)
S. Latha (Department of Mathematics, JSS Academy of Technical Education, Srinivaspura, Bengaluru - 560060, INDIA)

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 functions, Fekete-Szeg$\ddot{o}$ inequality, Horadam polynomials and $q$-derivative.

A.M.S. subject classification

52A40.

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