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

被引：13

作者：

Foupouagnigni, M

Ronveaux, A

Koepf, W

机构：

[1] Inst Math & Sci Phys, Porto Novo, Benin

[2] Fachbereich IMN, HTWK Leipzig, D-04251 Leipzig, Germany

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

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1999年 / 101卷 / 1-2期

关键词：

q-orthogonal polynomials; fourth-order q-difference equation;

D O I：

10.1016/S0377-0427(98)00225-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive the fourth-order q-difference equation satisfied by the first associated of the q-classical orthogonal polynomials. The coefficients of this equation are given in terms of the polynomials sigma and tau which appear in the q-Pearson difference equation D-q(sigma rho) = tau rho defining the weight rho of the q-classical orthogonal polynomials inside the q-Hahn tableau. (C) 1999 Elsevier Science B.V. All rights reserved. 1991 MSC:33C25.

引用

页码：231 / 236

页数：6

共 15 条

[1]

[Anonymous], 1991, MAPLE 5 LANGUAGE REF

[2]

AREA I, 1999, IN PRESS J SYMB COMP

[3]

ATAKISHIYEV NM, 1996, ZT TEORET MAT FIZ, V106, P76

[4]

Chihara TS., 1978, INTRO ORTHOGONAL POL

[5] Fourth-order difference equation for the associated classical discrete orthogonal polynomials [J].

Foupouagnigni, M ;

Koepf, W ;

Ronveaux, A .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 92 (02) :103-108

[6]

FOUPOUAGNIGNI M, UNPUB 4 ORDER DIFFER

[7]

GASPER G, 1990, ENCY MATH ITS APPL, V35

[8]

Hahn W., 1949, MATH NACHR, V2, P4, DOI 10.1002/mana.19490020103

[9]

KOEKOEK R, 1996, 9405 TU DELFT FAC TE

[10] Results on the associated classical orthogonal polynomials [J].

Lewanowicz, S .

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1995, 65 (1-3) :215-231

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