Asymptotics of multidimensional integrals depending singularly on a small parameter


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Abstract

The asymptotics is constructed for a class of multidimensional integrals that depend singularly on a small parameter. The case when the denominator of the integrand vanishes at three intersecting surfaces is considered.

About the authors

A. A. Ershov

Krasovskii Institute of Mathematics and Mechanics

Author for correspondence.
Email: ale10919@yandex.ru
Russian Federation, Yekaterinburg, 620990

M. I. Rusanova

Chelyabinsk State University

Email: ale10919@yandex.ru
Russian Federation, Chelyabinsk, 454001

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