On the asymptotics for late coefficients in uniform asymptotic expansions of integrals with coalescing saddles

DOI10.4310/MAA.2000.v7.n4.a7zbMath1006.41021MaRDI QIDQ1601160

R. Smith

Publication date: 19 June 2002

Published in: Methods and Applications of Analysis (Search for Journal in Brave)

zbMATH Keywords

asymptotic expansionBorel transforms

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (11)

The swallowtail integral in the highly oscillatory region III ⋮ Asymptotic expansions of the hypergeometric function with two large parameters—application to the partition function of a lattice gas in a field of traps ⋮ Asymptotic approximation of a highly oscillatory integral with application to the canonical catastrophe integrals ⋮ An asymptotic expansion of the hyberbolic umbilic catastrophe integral ⋮ Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp ⋮ Analytic formulas for the evaluation of the Pearcey integral ⋮ Globally Exact Asymptotics for Integrals with Arbitrary Order Saddles ⋮ The Pearcey integral in the highly oscillatory region ⋮ The asymptotic expansion of the swallowtail integral in the highly oscillatory region ⋮ The swallowtail integral in the highly oscillatory region. II ⋮ Convergent and asymptotic expansions of the Pearcey integral

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