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The Pearcey integral in the highly oscillatory region
(Elsevier, 2016)
info:eu-repo/semantics/article,
We consider the Pearcey integral P(x, y) for large values of |y| and bounded values of |x|. The integrand of the Pearcey integral oscillates wildly in this region and the asymptotic saddle point analysis is complicated. ...
The asymptotic expansion of the swallowtail integral in the highly oscillatory region
(Elsevier, 2018)
info:eu-repo/semantics/article,
The mathematical models of many short wavelength phenomena, specially wave propagation and optical diffraction,
contain, as a basic ingredient, oscillatory integrals with several nearly coincident stationary phase or ...