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<p>In this paper, we investigate the uniqueness problem for a power of an entire function that partially shares a value with its linear differential polynomial. We obtain a result that significantly improves several previous theorems in this area. Applications of our main result are also presented. Moreover, we address a question posed by Wang and Liu (Value cross-sharing of meromorphic functions [Comput Methods Funct Theory 23: 807–828, 2023] and provide a solution for a special case related to value cross-sharing.</p>

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Partial sharing and cross-sharing of entire function with its derivative

  • 期刊论文

  • 发表日期：

    2025年12月27日

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  • Sujoy Majumder,
  • Nabadwip Sarkar,
  • Debabrata Pramanik

摘要

In this paper, we investigate the uniqueness problem for a power of an entire function that partially shares a value with its linear differential polynomial. We obtain a result that significantly improves several previous theorems in this area. Applications of our main result are also presented. Moreover, we address a question posed by Wang and Liu (Value cross-sharing of meromorphic functions [Comput Methods Funct Theory 23: 807–828, 2023] and provide a solution for a special case related to value cross-sharing.