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Asymptotic Expansion of a Double Integral with a Curve of Stationary Points

    https://doi.org/10.1142/9789814656054_0020Cited by:0 (Source: Crossref)
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    Abstract:

    An asymptotic expansion is constructed for the double integral

    , as λ→ +∞, where f(x, y) has a curve of stationary points in D. The first two coefficients of the expansion are explicitly calculated.