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<p>This work begins by introducing the groundbreaking concept of log-<i>p</i>-analytic functions. Following this introduction, we proceed to delineate four distinct formulations of Landau-type theorems, specifically crafted for the domain of poly-analytic functions. Among these, two theorems are distinguished by their exactitude, and a third theorem offers a refinement to the existing work of Abdulhadi and Hajj. Concluding the paper, we present four specialized versions of Landau-type theorems applicable to a subset of bounded log-<i>p</i>-analytic functions, resulting in the derivation of two precise outcomes.</p>

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Advancements in log-p-analytic functions: Landau-type theorems and their refinements

  • 期刊论文

  • 发表日期：

    2026年5月9日

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  • Hanghang Zhao,
  • Mingsheng Liu,
  • Kit Ian Kou

摘要

This work begins by introducing the groundbreaking concept of log-p-analytic functions. Following this introduction, we proceed to delineate four distinct formulations of Landau-type theorems, specifically crafted for the domain of poly-analytic functions. Among these, two theorems are distinguished by their exactitude, and a third theorem offers a refinement to the existing work of Abdulhadi and Hajj. Concluding the paper, we present four specialized versions of Landau-type theorems applicable to a subset of bounded log-p-analytic functions, resulting in the derivation of two precise outcomes.