Fully Starlikeness and Fully Convexity for Bounded Harmonic Close-to-Convex Mappings

Çetinkaya A., Aydoğan S. M., Coşkun O. M., Sakar F. M.

Iranian Journal of Science, 2026 (SCI-Expanded, Scopus) identifier identifier

  • 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.