A. M. Il'in, A. A. Ershov, “Asymptotics of two-dimensional integrals depending singularly on a small parameter”, Trudy Inst. Mat. i Mekh. UrO RAN, 2009, Volume 15, Number 3,Pages <nobr>116

This article is cited in 3 papers

Asymptotics of two-dimensional integrals depending singularly on a small parameter

A. M. Il'in, A. A. Ershov

Chelyabinsk State University

Abstract: The asymptotics is constructed for some two-dimensional integrals depending singularly on a small parameter. The construction algorithm is described and two examples are given.

Keywords: two-dimensional integral, small parameter, asymptotic expansion.

UDC: 517.518.13

Received: 29.03.2009