Coefficient bounds and functional inequalities for reciprocal of starlike functions
Abstract
In this paper, we obtain sharp coefficient estimates and establish several functional inequalities, including the Fekete-Szegö inequality, Zalcman functional, Krushkal’s inequality, and bounds for Hankel determinants, for functions belonging to a subclass of reciprocal starlike functions associated with a specific analytic mapping in the open unit disk. Moreover, to demonstrate the sharpness of the derived results, we construct appropriate extremal functions that attain the equality cases.
Fields of Study & Subjects
Analytic and geometric function theory
Holomorphic and Operator Theory
Meromorphic and Entire Functions
Publication details
- Journal / source
- Research in Mathematics
- Publisher
- Informa UK Limited
- Volume
- 13
- Issue
- 1
- Publication date
- 20 April 2026
- Language
- EN