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<p>We explore the geometric properties of logharmonic mappings, focusing on Bohr-type radii and starlikeness. Extending the framework of Ali, Abdulhadi, and Ng (Complex Var Elliptic Equ 61:1–14, 2016), we establish generalized and refined Bohr inequalities for subclasses of starlike logharmonic mappings. Furthermore, we derive improved Bohr-type estimates for analytic subordination classes, as well as for stable harmonic and stable logharmonic mappings in the unit disk. Our results sharpen several known inequalities and provide unified bounds through function families defined via admissible sequences.</p>

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Bohr-type inequalities and geometric properties of logharmonic mappings

  • 期刊论文

  • 发表日期：

    2026年3月16日

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  • Zhi-Gang Wang,
  • Ramakrishnan Vijayakumar,
  • V. U. Sreelakshmi

摘要

We explore the geometric properties of logharmonic mappings, focusing on Bohr-type radii and starlikeness. Extending the framework of Ali, Abdulhadi, and Ng (Complex Var Elliptic Equ 61:1–14, 2016), we establish generalized and refined Bohr inequalities for subclasses of starlike logharmonic mappings. Furthermore, we derive improved Bohr-type estimates for analytic subordination classes, as well as for stable harmonic and stable logharmonic mappings in the unit disk. Our results sharpen several known inequalities and provide unified bounds through function families defined via admissible sequences.