Jacobi polynomials and generalized Clifford algebra‐valued Appell sequences. (9th September 2013)

• Record Type: Journal Article
• Authors: Cação, Isabel; Eelbode, David
• Is Part Of: Mathematical methods in the applied sciences. Volume 37:Number 10(2014:Jul. 15)
• Page Start: 1527
• Page End: 1537
• Publication Date: 2013-09-09
• Subjects: Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.2914
• Languages: English
• ISSNs: 0170-4214

Abstract

<abstract abstract-type="main" id="mma2914-abs-0001"> <title> <x xml:space="preserve">Abstract</x> </title> <p id="mma2914-para-0001">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 © 2013 John Wiley &amp; Sons, Ltd.</p> </abstract>