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Abstract <p>The paper deals with the uniqueness problem of derivatives of meromorphic functions when they share certain values with their shift and difference operators. In the case of shift operators, our result improves and extends all the existing results in this direction. We establish two uniqueness theorems for difference operators that also extend and improve certain theorems in this direction. Furthermore, we exhibit some examples pointing out the sharpness of some of our conditions.</p>

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On the Uniqueness of Derivatives of Meromorphic Functions with Their Shift and Difference Operators

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年10月10日

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  • R. Saha,
  • S. Mallick

摘要

Abstract

The paper deals with the uniqueness problem of derivatives of meromorphic functions when they share certain values with their shift and difference operators. In the case of shift operators, our result improves and extends all the existing results in this direction. We establish two uniqueness theorems for difference operators that also extend and improve certain theorems in this direction. Furthermore, we exhibit some examples pointing out the sharpness of some of our conditions.