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<p>Firstly, the definition of <i>k</i>-monogenic function with <i>α</i>-weight in superspace is given and a series of properties of this function are discussed. Then the Cauchy-Pompeiu formula for <i>k</i>-monogenic function with <i>α</i>-weight is obtained. Lastly, the Cauchy integral theorem for <i>k</i>-monogenic function with <i>α</i>-weight is proved.</p>

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Cauchy integral formula for k-monogenic function with α-weight in superspace

  • 期刊论文

  • 发表日期：

    2025年2月17日

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  • Zhiyuan Fu,
  • Heju Yang,
  • Na Xu

摘要

Firstly, the definition of k-monogenic function with α-weight in superspace is given and a series of properties of this function are discussed. Then the Cauchy-Pompeiu formula for k-monogenic function with α-weight is obtained. Lastly, the Cauchy integral theorem for k-monogenic function with α-weight is proved.