Taylor Series on the Hyperbolic Unit Ball

Hyperbolic monogenics are introduced as eigenfunctions of the hyperbolic angular Dirac operator \Gamma. Explicit formulae for the Taylor series of these functions are given, as well as integral formulae related to the hyperbolic angular Dirac operator.

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Veröffentlicht in:Bulletin of the Belgian Mathematical Society, Simon Stevin Simon Stevin, 2005-03, Vol.11 (5), p.719-738
Hauptverfasser: Eelbode, D., Sommen, F.
Format: Artikel
Sprache:eng
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Zusammenfassung:Hyperbolic monogenics are introduced as eigenfunctions of the hyperbolic angular Dirac operator \Gamma. Explicit formulae for the Taylor series of these functions are given, as well as integral formulae related to the hyperbolic angular Dirac operator.
ISSN:1370-1444
2034-1970
DOI:10.36045/bbms/1110205629