This article is cited in 3 papers

Saddle-point method and resurgent analysis

B. Yu. Sternin^a, V. E. Shatalov<sup>b

a</sup> M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
^b M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences

Abstract: The topological part of the theory of the parameter-dependent Laplace integral is known to consist of two stages. At the first stage, the integration contour is reduced to a sum of paths of steepest descent for some value of the parameter. At the second stage, this decomposition (and hence the asymptotic expansion of the integral) is continued to all other parameter values. In the present paper, the second stage is studied with the help of resurgent analysis techniques.

UDC: 517.9

Received: 25.12.1996

DOI: 10.4213/mzm1501

 English version: Mathematical Notes, 1997, 61:2, 227–241

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