Towards an Algebraic Theory of Orthogonal Polynomials in Several Variables - Journal of Applied Mathematics and Physics

JAMP > Vol.7 No.5, May 2019

Journal of Applied Mathematics and Physics

Volume 7, Issue 5 (May 2019)

ISSN Print: 2327-4352 ISSN Online: 2327-4379

Google-based Impact Factor: 0.70 Citations

Towards an Algebraic Theory of Orthogonal Polynomials in Several Variables ()

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DOI: 10.4236/jamp.2019.75079 538 Downloads 1,369 Views

Author(s)

Habib Rebei

Affiliation(s)

Department of Mathematics, College of Science, Qassim University, Al-Mulida, KSA.

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.

KEYWORDS

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

Share and Cite:

Rebei, H. (2019) Towards an Algebraic Theory of Orthogonal Polynomials in Several Variables. Journal of Applied Mathematics and Physics, 7, 1185-1196. doi: 10.4236/jamp.2019.75079.

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