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We study the so-called characteristic of \(\alpha \) -hypermonogenic functions. With the help of the characteristic, we derive a representation for the functions that enables the construction of \(\alpha \) -hypermonogenic functions with the help of harmonic and Clifford monogenic functions.

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Characteristics of \(\alpha \) -Hypermonogenic Functions

  • 会议论文

  • 发表日期：

    2025年

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  • Sirkka-Liisa Eriksson,
  • Heikki Orelma

摘要

We study the so-called characteristic of \(\alpha \) -hypermonogenic functions. With the help of the characteristic, we derive a representation for the functions that enables the construction of \(\alpha \) -hypermonogenic functions with the help of harmonic and Clifford monogenic functions.