Higher Spin Generalisation of the Gegenbauer Polynomials

被引：2
|
作者：
Eelbode, David [1 ]
Janssens, Tim [1 ]
机构：
[1] Univ Antwerp, Dept Math, Middelheimlaan 1, B-2020 Antwerp, Belgium
来源：
COMPLEX ANALYSIS AND OPERATOR THEORY | 2017年 / 11卷 / 05期
关键词：
Hypergeometric Function; Hypergeometric Series; Verma Module; Monogenic Function; Invariant Polynomial;
D O I：
10.1007/s11785-016-0623-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we generalise the harmonic Gegenbauer polynomials to the higher spin setting. To do so we will consider the space of simplicial harmonics and look for polynomials that are invariant with respect to a particular subalgebra of the orthogonal Lie algebra. Analogue to the classic case we will construct a ladder operator which generates our special functions and use them to construct Appell sequences.
引用
收藏
页码：1173 / 1192
页数：20
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