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
收藏
页码：167 / 181
页数：15
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