4.5 Article

Three term relations for multivariate Uvarov orthogonal polynomials

期刊

出版社

SPRINGER HEIDELBERG
DOI: 10.1007/s40314-022-02030-x

关键词

Multivariate orthogonal polynomials; Uvarov orthogonal polynomials; Moment linear functional; Modification of moment linear functionals

资金

  1. TUBITAK Research Grant [120F140]
  2. Agencia Estatal de Investigacion (AEI) of Spain [PID2020-113275GB-I00]
  3. European Community fund FEDER
  4. FEDER/J. Andalucia [A-FQM-246-UGR20]
  5. MCIN/AEI [PGC2018-094932-B-I00]
  6. FEDER funds [PGC2018-094932-B-I00]
  7. IMAG-Maria de Maeztu grant [CEX2020-001105-M]

向作者/读者索取更多资源

This paper studies the three term relations of orthogonal polynomials in several variables associated with a moment linear functional obtained by a Uvarov modification. It analyzes the existence of Uvarov orthogonal polynomials and provides conditions to ensure their existence. The matrices of the three term relations for the Uvarov orthogonal polynomials are explicitly given based on the matrices of the three term relations satisfied by the original family. Two examples are presented to demonstrate the validity of the results for positive definite linear functionals and some quasi definite linear functionals which are not positive definite.
Three term relations for orthogonal polynomials in several variables associated to a moment linear functional obtained by a Uvarov modification of a given moment functional are studied. Existence of Uvarov orthogonal polynomials is analyzed, stating conditions to ensure it. The matrices of the three term relations of the Uvarov orthogonal polynomials are explicitly given in terms of the matrices of the three term relations satisfied by the original family. Two examples are presented in order to show that the results are valid for positive definite linear functionals and also for some quasi definite linear functionals which are not positive definite.

作者

我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。

评论

主要评分

4.5
评分不足

次要评分

新颖性
-
重要性
-
科学严谨性
-
评价这篇论文

推荐

暂无数据
暂无数据