Asymptotics of two-dimensional integrals depending singularly on a small parameter
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 3, pp. 116-126
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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.
@article{TIMM_2009_15_3_a8,
author = {A. M. Il'in and A. A. Ershov},
title = {Asymptotics of two-dimensional integrals depending singularly on a~small parameter},
journal = {Trudy Instituta matematiki i mehaniki},
pages = {116--126},
year = {2009},
volume = {15},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a8/}
}
TY - JOUR AU - A. M. Il'in AU - A. A. Ershov TI - Asymptotics of two-dimensional integrals depending singularly on a small parameter JO - Trudy Instituta matematiki i mehaniki PY - 2009 SP - 116 EP - 126 VL - 15 IS - 3 UR - http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a8/ LA - ru ID - TIMM_2009_15_3_a8 ER -
A. M. Il'in; A. A. Ershov. Asymptotics of two-dimensional integrals depending singularly on a small parameter. Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 15 (2009) no. 3, pp. 116-126. http://geodesic.mathdoc.fr/item/TIMM_2009_15_3_a8/
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