Abstract

In the paper, we have exhaustively studied the uniqueness of meromorphic function sharing two values with its \(k\)th derivative counterpart. We have obtained a series of results each of which will improve and extend a number of existing results relevant to the content of the paper. We have also pointed out some gaps in one theorem in a paper due to Chen et al. (Pure Mathematics, 8(4), 378–382 (2018) (in Chinese)) and rectifying those gaps presented the corrected form of the same in a compact manner. Thus, we have been able to streamline all the results in this particular section of literature.

中文翻译：

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关于亚纯函数及其k阶导数唯一性的两个共享值问题

摘要

在本文中，我们详尽地研究了亚纯函数与其\（k \）导数对应项共享两个值的唯一性。我们已经获得了一系列结果，每个结果都会改善和扩展与本文内容相关的许多现有结果。我们还指出了由于Chen等人在论文中一个定理中的一些空白。（Pure Mathematics，8（4），378-382（2018）（中文））和纠正这些差距以紧凑的方式提出了相同的纠正形式。因此，我们已经能够精简该文献的所有结果。