The fourth order difference equation for the Laguerre-Hahn polynomials orthogonal on special non-uniform lattices

被引：7

作者：

Bangerezako, G

机构：

[1] Univ Catholique Louvain, Inst Math, B-1348 Louvain, Belgium

[2] Univ Burundi, Fac Sci, Dept Math, Bujumbura, Burundi

来源：

RAMANUJAN JOURNAL | 2001年 / 5卷 / 02期

关键词：

Laguerre-Hahn orthogonal on special non-uniform lattices polynomials; r-associated polynomials;

D O I：

10.1023/A:1011487824004

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We firstly establish the fourth order difference equation satisfied by the Laguerre-Hahn polynomials orthogonal on special non-uniform lattices in general case, secondly give it explicitly for the cases of polynomials r-associated to the classical polynomials orthogonal on linear, q-linear and q-nonlinear (Askey-Wilson) lattices, and thirdly give it "semi-explicitly" for the class one Laguerre-Hahn polynomials orthogonal on linear lattice.

引用

页码：167 / 181

页数：15

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