JournalszaaVol. 22, No. 2pp. 261–273

On Harmonic Potential Fields and the Structure of Monogenic Functions

  • Fred Brackx

    Gent University, Belgium
  • R. Delanghe

    Universiteit Gent, Belgium
On Harmonic Potential Fields and the Structure of Monogenic Functions cover
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Abstract

In specific open domains of Euclidean space, a correspondence is established between a monogenic function and a sequence of harmonic potential fields, leading to the construction of a unique vector-valued conjugate harmonic homogeneous polynomial to a given real-valued solid harmonic.

Cite this article

Fred Brackx, R. Delanghe, On Harmonic Potential Fields and the Structure of Monogenic Functions. Z. Anal. Anwend. 22 (2003), no. 2, pp. 261–273

DOI 10.4171/ZAA/1144