ASYMPTOTIC EXPANSIONS OF INTEGRALS OF 2 BESSEL-FUNCTIONS VIA THE GENERALIZED HYPERGEOMETRIC AND MEIJER FUNCTIONS
[摘要] Asymptotic expansions of certain finite and infinite integrals involving products of two Bessel functions of the first kind are obtained by using the generalized hypergeometric and Meijer functions. The Bessel functions involved are of arbitrary (generally different) orders, but of the same argument containing a parameter which tends to infinity. These types of integrals arise in various contexts, including wave scattering and crystallography, and are of general mathematical interest being related to the Riemann-Liouville and Hankel integrals. The results complete the asymptotic expansions derived previously by two different methods - a straightforward approach and the Mellin-transform technique. These asymptotic expansions supply practical algorithms for computing the integrals. The leading terms explicitly provide valuable analytical insight into the high-frequency behavior of the solutions to the wave-scattering problems.
[发布日期] 1994-05-20 [发布机构]
[效力级别] Proceedings Paper [学科分类]
[关键词] ASYMPTOTIC EXPANSION;BESSEL FUNCTIONS;GENERALIZED HYPERGEOMETRIC FUNCTION;HANKEL INTEGRAL;MEIJER FUNCTION;RIEMANN-LIOUVILLE INTEGRAL [时效性]
