Generalized coefficient estimates for a new subclass of analytic functions
Asian-European Journal of Mathematics, vol.19, no.3, 2026 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 19 Issue: 3
- Publication Date: 2026
- Doi Number: 10.1142/s1793557125500809
- Journal Name: Asian-European Journal of Mathematics
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
- Keywords: analytic functions, Fekete-Szegö functional, q -Ruscheweyh differential operator, starlike and convex function of order β, Sǎlǎgean derivative operator
- Ataturk University Affiliated: Yes
Abstract
In this study, a new subclass of analytic functions in the open unit disk was defined with the help of the function obtained by applying the Sălăgean derivative to the q-Ruscheweyh derivative operator. For the functions belonging to this subclass, the coefficient bounds for the Fekete–Szegö functional were determined. The results of this paper are a generalization of the results of Kanas and Darwish [Fekete–Szegö problem for starlike and convex functions of complex order, Appl. Math. Lett. 23(7) (2010) 777–782].