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<p>The paper deals with a question posed by Chen and Xu (Comput. Methods Funct. Theory 22: 197–205, 2022) concerning the uniqueness of higher-order derivatives and shifts of meromorphic functions having hyper-order less than 1. We completely solve the problem. Further, we provide an extended uniqueness result of which Chen-Xu’s problem becomes a special case. Moreover, we provide various examples showing the sharpness of different assumptions of our main result. Finally, we point out a gap in one of the theorems of Chen-Xu (Comput. Methods Funct. Theory 22: 197–205, 2022) in the discussion section.</p>

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On a Question of Chen and Xu

  • 期刊论文

  • 发表日期：

    2025年7月11日

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  • Sanjay Mallick,
  • Ripan Saha

摘要

The paper deals with a question posed by Chen and Xu (Comput. Methods Funct. Theory 22: 197–205, 2022) concerning the uniqueness of higher-order derivatives and shifts of meromorphic functions having hyper-order less than 1. We completely solve the problem. Further, we provide an extended uniqueness result of which Chen-Xu’s problem becomes a special case. Moreover, we provide various examples showing the sharpness of different assumptions of our main result. Finally, we point out a gap in one of the theorems of Chen-Xu (Comput. Methods Funct. Theory 22: 197–205, 2022) in the discussion section.