Fully Starlikeness and Fully Convexity for Bounded Harmonic Close-to-Convex Mappings
Iranian Journal of Science, 2026 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Publication Date: 2026
- Doi Number: 10.1007/s40995-026-01961-y
- Journal Name: Iranian Journal of Science
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Keywords: Close-to-convex functions, Fully convexity, Fully starlikeness, Harmonic mappings
- Istanbul Kültür University Affiliated: Yes
Abstract
In this article, analogous to the class of bounded analytic functions, defined by Zhongzhu and Owa (1992), we define a new subclass of bounded harmonic mappings. We determine the conditions for such mappings to be close-to-convex. We also determine sharp coefficient estimates, sufficient coefficient estimates, convolution and convex combination conditions. Moreover, we investigate radii of fully starlikeness and fully convexity for such mappings.