RELATIVE ASYMPTOTICS FOR ORTHOGONAL POLYNOMIALS WITH UNBOUNDED RECURRENCE COEFFICIENTS

被引：15

作者：

GERONIMO, JS ^{[1
]}

VANASSCHE, W ^{[1
]}

机构：

[1] CATHOLIC UNIV LEUVEN, DEPT WISKUNDE, B-3030 HEVERLE, BELGIUM

来源：

JOURNAL OF APPROXIMATION THEORY | 1990年 / 62卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0021-9045(90)90046-S

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The asymptotic behavior of the ratio pn qn given, where {pn(x): n = 0, 1, ...} and {qn(x): n = 0, 1, 2, ...} are orthogonal polynomials with regularly varying recurrence coefficients that are closely related. The result is applied to some classical polynomials. © 1990.

引用

页码：47 / 69

页数：23

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