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<p>In the framework of Clifford analysis we obtain axial-type solutions to a non-commutative version of the Laplace equation. The solutions of this equation are known as inframonogenic functions. In fact, these axial-type solutions give rise to systems of partial differential equations that can be solved in terms of special functions. In this work we study axial symmetry for inframonogenic functions and show how to construct particular examples involving Bessel functions.</p>

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Axial Inframonogenic Functions In Clifford Analysis

  • 期刊论文

  • 发表日期：

    2025年9月22日

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  • Daniel Alfonso Santiesteban,
  • Ricardo Abreu Blaya,
  • Baruch Schneider

摘要

In the framework of Clifford analysis we obtain axial-type solutions to a non-commutative version of the Laplace equation. The solutions of this equation are known as inframonogenic functions. In fact, these axial-type solutions give rise to systems of partial differential equations that can be solved in terms of special functions. In this work we study axial symmetry for inframonogenic functions and show how to construct particular examples involving Bessel functions.