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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2016, Volume 22, Number 1, Pages 84–92
(Mi timm1262)
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This article is cited in 2 scientific papers (total in 2 papers)
Asymptotics of multidimensional integrals with singular dependence on a small parameter
A. A. Ershova, M. I. Rusanovab a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Chelyabinsk State University
Abstract:
An asymptotic expansion is constructed for a class of multidimensional integrals that depend singularly on a small parameter. The case where the denominator of the integrand vanishes on three intersecting surfaces is considered.
Keywords:
multidimentional integral, small parameter, asymptotic expansion, singularity substraction method.
Received: 22.05.2015
Citation:
A. A. Ershov, M. I. Rusanova, “Asymptotics of multidimensional integrals with singular dependence on a small parameter”, Trudy Inst. Mat. i Mekh. UrO RAN, 22, no. 1, 2016, 84–92; Proc. Steklov Inst. Math. (Suppl.), 297, suppl. 1 (2017), 72–80
Linking options:
https://www.mathnet.ru/eng/timm1262 https://www.mathnet.ru/eng/timm/v22/i1/p84
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Abstract page: | 228 | Full-text PDF : | 66 | References: | 53 | First page: | 28 |
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