Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials

被引：7

作者：

Ronveaux, A

Godoy, E

Zarzo, A

Area, I

机构：

[1] Univ Vigo, Escuela Tecn Super Ingn Ind & Minas, Dept Matemat Aplicada, Vigo 36200, Spain

[2] Fac Univ Notre Dame Paix, B-5000 Namur, Belgium

[3] Univ Granada, Fac Ciencias, Inst Carlos I Fis Teor & Computac, E-18071 Granada, Spain

[4] Univ Politecn Madrid, Escuela Tecn Super Ingn Ind, Dept Matemat Aplicada, E-28006 Madrid, Spain

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1998年 / 90卷 / 01期

关键词：

orthogonal polynomials; fourth-order difference equation; connection problems;

D O I：

10.1016/S0377-0427(98)00015-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive the fourth-order difference equation satisfied by the first associated of classical orthogonal polynomials of a discrete variable. We give it explicitly for first associated of Hahn polynomials from which can be derived by a limiting process the equation satisfied by first associated of all classical families (continuous and discrete). (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：45 / 50

页数：6

共 50 条

[1] Fourth-order difference equation for the first associated of classical discrete orthogonal polynomials
Universidad de Vigo, Vigo, Spain
[J]. J Comput Appl Math, 1 (45-50):
[2] Fourth-order difference equation for the associated classical discrete orthogonal polynomials
Konrad-Zuse-Zentrum fuer, Informationstechnik, Berlin, Germany
[J]. J Comput Appl Math, 2 (103-108):
[3] Fourth-order difference equation for the associated classical discrete orthogonal polynomials
Foupouagnigni, M
Koepf, W
Ronveaux, A
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 92 (02) : 103 - 108
[4] Fourth order q-difference equation for the first associated of the q-classical orthogonal polynomials
Foupouagnigni, M
Ronveaux, A
Koepf, W
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 101 (1-2) : 231 - 236
[5] On the fourth-order difference equation for the associated Meixner polynomials
Lewanowicz, S
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1997, 80 (02) : 351 - 358
[6] Fourth-order difference equation for the associated Meixner and Charlier polynomials
Letessier, J
Ronveaux, A
Valent, G
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1996, 71 (02) : 331 - 341
[7] Fourth-order difference equation satisfied by the co-recursive of q-classical orthogonal polynomials
Fourpouagnigni, M
Ronveaux, A
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2001, 133 (1-2) : 355 - 365
[8] The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Δ-Laguerre-Hahn class
Foupouagnigni, M
Hounkonnou, MN
Ronveaux, A
[J]. JOURNAL OF SYMBOLIC COMPUTATION, 1999, 28 (06) : 801 - 818
[9] A fourth order q-difference equation for associated discrete q-orthogonal polynomials
Ismail, MEH
Simeonov, P
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2002, 32 (02) : 679 - 690
[10] The fourth-order difference equation satisfied by the associated orthogonal polynomials of the Dq-Laguerre-Hahn class
Foupouagnigni, M
Ronveaux, A
Hounkonnou, MN
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2001, 7 (03) : 445 - 472

← 1 2 3 4 5 →