Three term relations for multivariate Uvarov orthogonal polynomials

被引：1

作者：

Aktas, Rabia ^{[1
]}

Area, Ivan ^{[2
]}

Perez, Teresa E. ^{[3
,4
]}

机构：

[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey

[2] Univ Vigo, Dept Matemat Aplicada 2, CITMAga, EE Aeronaut & Espazo, Campus As Lagoas S-N, Orense 32004, Spain

[3] Univ Granada, Fac Ciencias, Inst Matemat IMAG, Granada 18071, Spain

[4] Univ Granada, Fac Ciencias, Dept Matemat Aplicada, Granada 18071, Spain

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2022年 / 41卷 / 07期

关键词：

Multivariate orthogonal polynomials; Uvarov orthogonal polynomials; Moment linear functional; Modification of moment linear functionals; PARTIAL-DIFFERENTIAL-EQUATIONS; RECURSION FORMULAS;

D O I：

10.1007/s40314-022-02030-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：30

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