Geodesic
Asymptotics of multidimensional integrals with singular dependence on a small parameter
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 1, pp. 84-92

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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. 
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A. A. Ershov; M. I. Rusanova. Asymptotics of multidimensional integrals with singular dependence on a small parameter. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 22 (2016) no. 1, pp. 84-92. http://geodesic.mathdoc.fr/item/TIMM_2016_22_1_a8/