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<p>In this paper, Schwarz-type lemmas for different classes of quaternion functions are obtained. Firstly, some properties of symmetric points are given. Secondly, the Schwarz-type lemma and the Schwarz-Pick-type theorem for quaternion regular functions are obtained. Finally, the Schwarz-type lemma for quaternion <i>k</i>-regular functions is derived.</p>

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Schwarz type lemmas for quaternion k-regular functions

  • 期刊论文

  • 发表日期：

    2025年12月1日

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  • Xiaotong Liang,
  • Xiaojing Du,
  • Yonghong Xie

摘要

In this paper, Schwarz-type lemmas for different classes of quaternion functions are obtained. Firstly, some properties of symmetric points are given. Secondly, the Schwarz-type lemma and the Schwarz-Pick-type theorem for quaternion regular functions are obtained. Finally, the Schwarz-type lemma for quaternion k-regular functions is derived.