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.
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页码：383 / 402
页数：20
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