Geodesic
Asymptotics of a~multiple Cauchy integral with rapidly oscillating exponential
Matematičeskie zametki, Tome 58 (1995) no. 2, pp. 231-242

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An asymptotic expansion uniform with respect to a parameter is obtained for a multiple Cauchy integral with a rapidly oscillating exponential in the integrand under the assumption that the singularity lines are in a general position. 
@article{MZM_1995_58_2_a5,
     author = {O. M. Kiselev},
     title = {Asymptotics of a~multiple {Cauchy} integral with rapidly oscillating exponential},
     journal = {Matemati\v{c}eskie zametki},
     pages = {231--242},
     publisher = {mathdoc},
     volume = {58},
     number = {2},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1995_58_2_a5/}
}
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O. M. Kiselev. Asymptotics of a~multiple Cauchy integral with rapidly oscillating exponential. Matematičeskie zametki, Tome 58 (1995) no. 2, pp. 231-242. http://geodesic.mathdoc.fr/item/MZM_1995_58_2_a5/