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.
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
\Bibitem{ErsRus16}
\by A.~A.~Ershov, M.~I.~Rusanova
\paper Asymptotics of multidimensional integrals with singular dependence on a small parameter
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2016
\vol 22
\issue 1
\pages 84--92
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\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2017
\vol 297
\issue , suppl. 1
\pages 72--80
\crossref{https://doi.org/10.1134/S008154381705008X}
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Linking options:
https://www.mathnet.ru/eng/timm1262
https://www.mathnet.ru/eng/timm/v22/i1/p84
This publication is cited in the following 2 articles:
D. N. Cherginets, “System without Characteristic Directions with a Nonanalytic Center Condition”, Diff Equat, 59:12 (2023), 1598
V. A. Krivorol, M. Yu. Nalimov, “Kinetic coefficients in a time-dependent Green's function formalism at finite temperature”, Theoret. and Math. Phys., 213:3 (2022), 1774–1788
Citation in format AMSBIB
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