Towards an Algebraic Theory of Orthogonal Polynomials in Several Variables

• 作者: Habib Rebei
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: Three-Term RECURRENCE Relation ORTHOGONAL POLYNOMIALS in SEVERAL VARIABLES Quantum Decomposition
• 年，卷（期）: 2019,（5）
• 页码范围: 1185-1196
• 页数: 12页
• 分类号: O1

摘要

In this paper, we review on a general theory of orthogonal polynomials in several variables (O.P.S.V) in which we present two different approaches for the three-term recurrence relation. We draw attention to the fact that it is possible to take advantage of the orthogonal projection approach of the three-term recurrence relation towards the development of the algebraic theory of O.P.S.V.