Title
Jacobi polynomials and generalized Clifford algebra-valued Appell sequences Jacobi polynomials and generalized Clifford algebra-valued Appell sequences
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
Stuttgart ,
Subject
Mathematics
Source (journal)
Mathematical methods in the applied sciences. - Stuttgart
Volume/pages
37(2014) :10 , p. 1527-1537
ISSN
0170-4214
ISI
000337595500011
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
Appell sequences in Clifford analysis are defined as polynomial families on which the Heisenberg algebra acts through a raising and a lowering operator satisfying the canonical Heisenberg relation. Recently, these sequences have gained new interest, as they are connected to the topic of special functions (such as harmonic or monogenic Gegenbauer polynomials) and branching rules for certain irreducible representations of the spin group. In this paper, we will explain how Jacobi polynomials appear quite naturally in the setting of Appell sequences related to certain branching problems. Copyright (c) 2013 John Wiley & Sons, Ltd.
E-info
https://repository.uantwerpen.be/docman/iruaauth/164a64/7527882.pdf
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