Perturbed recurrence relations, III, the general case - some new applications

被引：3

作者：

Leopold, Elie ^{[1
,2
]}

机构：

[1] Univ Toulon & Var Phymat, F-83957 La Garde, France

[2] CNRS Marseille Luminy, Ctr Phys Theor, F-13288 Marseille 9, France

来源：

NUMERICAL ALGORITHMS | 2008年 / 48卷 / 04期

关键词：

perturbed orthogonal polynomial system; general recurrence relations with perturbed coefficients; Sobolev recurrence relations; differential equations; zeros;

D O I：

10.1007/s11075-008-9212-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we give some new extensions and some new applications of our results on the perturbation of coefficients and the order of a general recurrence relation-for example we will give some new results for the asymptotic properties, for the zeros and for the differential equations of the polynomials which satisfy the perturbed recurrence relation.

引用

页码：383 / 402

页数：20

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