Asymptotic Expansion of the Pearcey Integral Near the Caustic
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Publication:3828294
DOI10.1137/0520066zbMath0674.33008OpenAlexW2032403598MaRDI QIDQ3828294
Publication date: 1989
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/0520066
Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Other special functions (33E99) Asymptotic representations in the complex plane (30E15)
Related Items (14)
Hyperasymptotic evaluation of the Pearcey integral via Hadamard expansions ⋮ COMPUTATION OF HIGH FREQUENCY FIELDS NEAR CAUSTICS ⋮ The swallowtail integral in the highly oscillatory region III ⋮ Uniform asymptotic expansions of integrals: A selection of problems ⋮ 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 Pearcey integral in the highly oscillatory region ⋮ The asymptotic expansion of the swallowtail integral in the highly oscillatory region ⋮ Dispersive blow-up for nonlinear Schrödinger equations revisited ⋮ The swallowtail integral in the highly oscillatory region. II ⋮ ON THE UBIQUITY OF THE LÉVY INTEGRAL — ITS RELATIONSHIP WITH THE GENERALIZED EULER-JACOBI SERIES AND THEIR ASYMPTOTICS BEYOND ALL ORDERS ⋮ On the zeros of the Pearcey integral ⋮ Convergent and asymptotic expansions of the Pearcey integral
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