文献类型：期刊文献

英文题名：On evaluation of oscillatory transforms from position to momentum space

作者：Chen, Ruyun[1];Xiang, Shuhuang[2];Kuang, Xuesong[1]

机构：[1]Guangdong Ocean Univ, Sch Math & Comp, Zhanjiang 524088, Guangdong, Peoples R China;[2]Cent S Univ, Sch Math & Stat, Changsha 410083, Hunan, Peoples R China

年份：2019

卷号：344

起止页码：183

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：SCI-EXPANDED(收录号：WOS:000449353600015)、、EI(收录号：20184406002777)、Scopus(收录号：2-s2.0-85055505314)、WOS

基金：The work is supported by NSF of Guangdong Province, China(No. 2015A030313615).

语种：英文

外文关键词：Bessel function integrals; Hankel transforms; Multiple integral; Asymptotic expansion

外文摘要：Based on the relation between the multiple integral and simple integral, we propose an asymptotic rule for computing the oscillatory Bessel transforms from position to momentum space. We begin our analysis by evaluating the generalized moments. Next, we introduce the schemes of the rule in detail. In order to demonstrate the efficiency of the rule, some numerical examples based on theoretical results are presented. (C) 2018 Elsevier Inc. All rights reserved.