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<p>In this paper, we investigate a uniqueness question of transcendentalmeromorphic functions sharing three distinct polynomials with theirkth order derivatives, and investigate a uniqueness question of transcendentalmeromorphic functions sharing three distinct small functions with their <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="10476_2025_92_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(k\)</EquationSource> <EquationSource Format="MATHML"><math> <mi>k</mi> </math></EquationSource> </InlineEquation>th orderderivatives, where two of the three distinct small functions are two distinctfinite values. The main results obtained in this paper improve the correspondingresults from Mues–Steinmetz [5], Gundersen [4] and Frank–Schwick [6].</p>

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Notes on meromorphic functions that share three small functions with their \(k\)th order derivatives

  • 期刊论文

  • 发表日期：

    2025年6月12日

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  • X. -H. Huang

摘要

In this paper, we investigate a uniqueness question of transcendentalmeromorphic functions sharing three distinct polynomials with theirkth order derivatives, and investigate a uniqueness question of transcendentalmeromorphic functions sharing three distinct small functions with their \(k\) k th orderderivatives, where two of the three distinct small functions are two distinctfinite values. The main results obtained in this paper improve the correspondingresults from Mues–Steinmetz [5], Gundersen [4] and Frank–Schwick [6].