On linear spectral transformations and the Laguerre-Hahn class

被引：2

作者：

Castillo, K. ^{[1
]}

Rebocho, M. N. ^{[2
]}

机构：

[1] Univ Coimbra, Dept Math, CMUC, Coimbra, Portugal

[2] Univ Beira Interior, Dept Matemat, P-6201001 Covilha, Portugal

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2017年 / 28卷 / 11期

关键词：

Orthogonal polynomials; Laguerre-Hahn class; Riccati differential equation; Christoffel transformation; Geronimus transformation; ORTHOGONAL POLYNOMIALS; DIFFERENTIAL-EQUATIONS;

D O I：

10.1080/10652469.2017.1378197

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Christoffel and Geronimus transformations for Laguerre-Hahn orthogonal polynomials on the real line. It is analysed the modification on the corresponding difference-differential equations that characterize the systems of orthogonal polynomials and the consequences for the three-term recurrence relation coefficients.

引用

页码：859 / 875

页数：17

共 25 条

[1]

[Anonymous], 1982, NUMERICAL INTEGRATIO

[2]

[Anonymous], 1988, THESIS

[3]

[Anonymous], 1969, Comput. Math. Math. Phys.

[4]

Bouakkaz H., 1991, IMACS ANN COMPUT APP, V9, P189

[5] Second-order differential equations in the Laguerre-Hahn class [J].

Branquinho, A. ;

Foulquie Moreno, A. ;

Paiva, A. ;

Rebocho, M. N. .

APPLIED NUMERICAL MATHEMATICS, 2015, 94 :16-32

[6] Sylvester equations for Laguerre-Hahn orthogonal polynomials on the real line [J].

Branquinho, A. ;

Paiva, A. ;

Rebocho, M. N. .

APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (17) :9118-9131

[7] Darboux transformation and perturbation of linear functionals [J].

Bueno, MI ;

Marcellán, F .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 384 :215-242

[8]

Chihara T.S., 1978, INTRO ORTHOGONAL POL

[9]

Christoffel EB., 1858, Crelles Journal, V55, P61

[10]

DINI J, 1990, ANN POL MATH, V52, P175

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