On the derivation of asymptotic expansions for special functions from the corresponding differential equations

被引：3

作者：

Campos, LMBC ^{[1
]}

机构：

[1] Univ Tecn Lisboa, ISR, Seccao Mecan Aerosp, Inst Super Tecn, P-1049001 Lisbon, Portugal

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2001年 / 12卷 / 03期

关键词：

Bessel; Neumann; Hankel functions; asymptotic expansion;

D O I：

10.1080/10652460108819347

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Asymptotic expansions of special functions are usually obtained from integral representations, e.g. by Watson's lemma. In the present paper a method of derivation of asymptotic expansions is presented, which does not use integral representations, and relies on solutions of the differential equation satisfied by the special function in question. The method is illustrated by the determination of the asymptotic expansions for Bessel, Neumann and Hankel functions, and has wider application.

引用

页码：227 / 236

页数：10