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Convergent and asymptotic expansions of the Pearcey integral
(Elsevier, 2015)
info:eu-repo/semantics/article,
We consider the Pearcey integral P(x; y) for large values of |x|, x, y ∈ C. We can find
in the literature several convergent or asymptotic expansions in terms of elementary and
special functions, with different levels ...
Asymptotic and convergent expansions for solutions of third-order linear differential equations with a large parameter
(Shanghai Normal UniversityWilmington Scientific Publisher, 2018)
info:eu-repo/semantics/article,
In previous papers [6–8,10], we derived convergent and asymptotic
expansions of solutions of second order linear differential equations with a
large parameter. In those papers we generalized and developed special cases
not ...
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. ...
Analytic formulas for the evaluation of the Pearcey integral
(American Mathematical Society, 2017)
info:eu-repo/semantics/article,
We can find in the literature several convergent and/or asymptotic
expansions of the Pearcey integral P(x, y) in different regions of the complex
variables x and y, but they do not cover the whole complex x and y ...