Formula for the second term of the logarithmic asymptotic of Laplace integrals (Q792692)

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scientific article; zbMATH DE number 3854096
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Formula for the second term of the logarithmic asymptotic of Laplace integrals
scientific article; zbMATH DE number 3854096

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    Formula for the second term of the logarithmic asymptotic of Laplace integrals (English)
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    1984
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    The formula obtained by \textit{V. P. Maslov} and \textit{M. V. Fedoryuk} [Mat. Zametki 30, 763-768 (1981; Zbl 0489.60031)] for the logarithmic asymptotic of the Laplace integral \(\int_{R^ n}\phi(x)\exp(- S(x)/\epsilon)dx\), where \(\epsilon\) is a small parameter, is proved to be valid for a larger class of functions S and \(\phi\).
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    logarithmic asymptotic of the Laplace integral
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