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Towards an Algebraic Theory of Orthogonal Polynomials in Several Variables

Towards an Algebraic Theory of Orthogonal Polynomials in Several Variables
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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. 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.
作者 Habib Rebei
出处 《Journal of Applied Mathematics and Physics》 2019年第5期1185-1196,共12页 应用数学与应用物理(英文)
关键词 Three-Term RECURRENCE Relation ORTHOGONAL POLYNOMIALS in SEVERAL VARIABLES Quantum Decomposition Three-Term Recurrence Relation Orthogonal Polynomials in Several Variables Quantum Decomposition
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