Geodesic
Asymptotics of three-dimensional integrals singularly depending on a small parameter
Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 1, pp. 35-42

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Asymptotics of some three-dimensional integrals singularly depending on a small parameter is constructed. The integrand denominator of the considered integrals is a sum of a small parameter and nonnegative function vanishing on three not intersecting surfaces. Such form integrals diverge as a small parameter tends to zero. The method of singularities subtraction and the circle method are applied.
Keywords: asymptotic expansion, small parameter, integral, singularities subtraction method, circle method. 
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     author = {A. A. Ershov},
     title = {Asymptotics of three-dimensional integrals singularly depending on a small parameter},
     journal = {\v{C}el\^abinskij fiziko-matemati\v{c}eskij \v{z}urnal},
     pages = {35--42},
     publisher = {mathdoc},
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     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_1_a3/}
}
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A. A. Ershov. Asymptotics of three-dimensional integrals singularly depending on a small parameter. Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 1, pp. 35-42. http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_1_a3/