A. A. Ershov, M. I. Rusanova, “Asymptotics of multidimensional integrals with singular dependence on a small parameter”, Trudy Inst. Mat. i Mekh. UrO RAN, 2016, Volume 22, Number 1,Pages <nobr>84

This article is cited in 2 papers

Asymptotics of multidimensional integrals with singular dependence on a small parameter

A. A. Ershov^a, M. I. Rusanova^b

^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.

UDC: 517.977

Received: 22.05.2015