ON BESSEL-FUNCTIONS AND RATE OF CONVERGENCE OF ZEROS OF LOMMEL POLYNOMIALS

被引：0

作者：

FEINSILVER, P ^{[1
]}

SCHOTT, R ^{[1
]}

机构：

[1] UNIV NANCY 1,INRIA LORRAINE,CTR RECH INFORMAT NANCY,F-54506 VANDOEUVRE NANCY,FRANCE

来源：

MATHEMATICS OF COMPUTATION | 1992年 / 59卷 / 199期

关键词：

D O I：

10.2307/2152986

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we solve an open problem of Flajolet and Schott concerning the rate of convergence of the zeros of Lommel polynomials to the zeros of a Bessel function (considered as a function of the order). The average case analysis of dynamic data structures was the initial motivation for this investigation. The Maple program, whose results are reported at the end, illustrates that our result is quite good.

引用

页码：153 / 156

页数：4

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