Article citationsMore>>

Accardi, L., Barhoumi, A. and Dhahri, A. (2017) Identification of the Theory of Orthogonal Polynomials in d-Indeterminates with the Theory of 3-Diagonal Symmetric Interacting Fock Spaces. Infinite Dimensional Analysis, Quantum Probability and Related Topics, 20, 55.
https://doi.org/10.1142/S0219025717500047

has been cited by the following article:

• TITLE: Towards an Algebraic Theory of Orthogonal Polynomials in Several Variables

  AUTHORS: Habib Rebei

  KEYWORDS: Three-Term Recurrence Relation, Orthogonal Polynomials in Several Variables, Quantum Decomposition

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.7 No.5, May 29, 2019

  ABSTRACT: 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.