Asymptotics of convergence radii for the two-parameter airy equation

被引：0

作者：

Volkmer, H ^{[1
]}

机构：

[1] Univ Wisconsin, Dept Math Sci, Milwaukee, WI 53201 USA

来源：

DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS | 1999年 / 5卷 / 1-4期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let mu(1)(lambda) < mu(2)(lambda) < mu(3)(lambda) < ... denote the eigenvalue functions of the two-parameter Airy equation y " + (mu + lambda x)y = 0, y(-1) = y(1) = 0; and let rho(n) be the radius of convergence of the expansion of mu(n)(lambda) in powers of lambda. It is shown that the sequence rho(n) satisfies the asymptotic expansion rho(n) = 9/32 pi(2)n(2) + (n(5/3)) as n --> infinity. AMS (MOS) subject classification: 33C10, 34B30.

引用

页码：31 / 38

页数：8

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