Inequalities of Coefficients and the Fekete-Szegö Problem Associated with λ-Pseudo Starlike Functions
Contemporary Mathematics (Singapore), vol.5, no.4, pp.6103-6119, 2024 (Scopus)
- Publication Type: Article / Article
- Volume: 5 Issue: 4
- Publication Date: 2024
- Doi Number: 10.37256/cm.5420245312
- Journal Name: Contemporary Mathematics (Singapore)
- Journal Indexes: Scopus, MathSciNet, zbMATH
- Page Numbers: pp.6103-6119
- Keywords: analytic functions, coefficient inequalities, fekete-szegö inequality, inverse functions, subordination, λ-pseudo starlike functions
- Bursa Uludag University Affiliated: Yes
Abstract
We introduce a new subclass of starlike functions, denoted by RS∗ (λ, Ξ, ξ1, ξ2), that are influenced by the Janowski functions, which are well-known in the literature. Our main results are the coefficient estimates of the inverse function and the Fekete-Szegö inequality for this subclass. We also present some special cases of our results that are of interest.