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Abstract <p>In the paper, we deal with the uniqueness problem of a shift of a meromorphic function that shares three values CM with its first derivative, and obtain two results. Our first result improves the recent result of Qi et al. [<CitationRef CitationID="CR1">1</CitationRef>] by dropping the assumption on the order of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(f\)</EquationSource> <!--ContMath2560024Majumder-m1--> </InlineEquation>, and our second result reduces the lower bound of <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(n\)</EquationSource> <!--ContMath2560024Majumder-m2--> </InlineEquation> of another result of Qi et al. [<CitationRef CitationID="CR1">1</CitationRef>]. Moreover, we exhibit two examples to show that our results are the best possible.</p>

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Shift of a Meromorphic Function Sharing Three Values with Its First Derivative

  • 期刊论文

  • 发表日期：

    2026年4月18日

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  • S. Majumder,
  • D. Pramanik,
  • L. Mahato

摘要

Abstract

In the paper, we deal with the uniqueness problem of a shift of a meromorphic function that shares three values CM with its first derivative, and obtain two results. Our first result improves the recent result of Qi et al. [1] by dropping the assumption on the order of \(f\) , and our second result reduces the lower bound of \(n\) of another result of Qi et al. [1]. Moreover, we exhibit two examples to show that our results are the best possible.