The Pearcey integral in the highly oscillatory region

DOI10.1016/j.amc.2015.11.080zbMath1410.33033arXiv1511.05323OpenAlexW2199001144MaRDI QIDQ668943

José Luis López, Pedro J. Pagola

Publication date: 19 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05323

zbMATH Keywords

asymptotic expansionsmodified saddle point methodPearcey integral

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other functions defined by series and integrals (33E20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (7)

The swallowtail integral in the highly oscillatory region III ⋮ An asymptotic expansion of the hyberbolic umbilic catastrophe integral ⋮ Pearcey integrals, Stokes lines and exact baryonic layers in the low energy limit of QCD ⋮ Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp ⋮ Analytic formulas for the evaluation of the Pearcey integral ⋮ The asymptotic expansion of the swallowtail integral in the highly oscillatory region ⋮ The swallowtail integral in the highly oscillatory region. II

Uses Software

• DLMF

Cites Work

• A systematization of the saddle point method. Application to the Airy and Hankel functions
• On the asymptotics for late coefficients in uniform asymptotic expansions of integrals with coalescing saddles
• Asymptotic Expansion of the Pearcey Integral Near the Caustic
• A method for the numerical evaluation of the oscillatory integrals associated with the cuspoid catastrophes: application to Pearcey's integral and its derivatives
• The asymptotic behaviour of Pearcey’s integral for complex variables
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