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<p>In this article, analogous to the class of bounded analytic functions, defined by Zhongzhu and Owa (<CitationRef CitationID="CR17">1992</CitationRef>), 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.</p>

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

  • 期刊论文

  • 发表日期：

    2026年2月26日

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  • Asena Çetinkaya,
  • S. Melike Aydoğan,
  • Oya Mert Coşkun,
  • F. Müge Sakar

摘要

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.