On evaluation of oscillatory transforms from position to momentum space

Ruyun Chen, Shuhuang Xiang and Xuesong Kuang

Applied Mathematics and Computation, 2019, vol. 344-345, 183-190

Abstract: 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.

Keywords: Bessel function integrals; Hankel transforms; Multiple integral; Asymptotic expansion (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:344-345:y:2019:i::p:183-190

DOI: 10.1016/j.amc.2018.10.017

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