Title
Monogenic Appell sets as representations of the Heisenberg algebra
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
México ,
Subject
Mathematics
Physics
Source (journal)
Advances in applied Clifford algebras. - México
Volume/pages
22(2012) :4 , p. 1009-1023
ISSN
0188-7009
ISI
000310639000005
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
In a recent series of papers, Appell sets were generalized from the classical (real and complex) setting to higher dimensions, within the framework of Clifford analysis. The aim of this paper is to exhibit the relation between these Appell sets and the Gegenbauer polynomials, which leads to the construction of a raising and lowering operator for the associated family of polynomials.
E-info
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