On the zeros of the Pearcey integral

DOI10.1016/S0377-0427(99)00074-6zbMath0931.41018WikidataQ127220151 ScholiaQ127220151MaRDI QIDQ1298775

V. Pereyra

Publication date: 21 February 2000

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

zbMATH Keywords

asymptotic analysisnumerical evaluationPearcey integral

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60)

Related Items (5)

Hyperasymptotic evaluation of the Pearcey integral via Hadamard expansions ⋮ Theory and numerical evaluation of oddoids and evenoids: oscillatory cuspoid integrals with odd and even polynomial phase functions ⋮ Lagrangian manifolds and efficient short-wave asymptotics in a neighborhood of a caustic cusp ⋮ Propagation properties and radiation forces of the chirped Pearcey Gaussian vortex beam in a medium with a parabolic refractive index ⋮ On the zeros of the Pearcey integral and a Rayleigh-type equation

Cites Work

• Unnamed Item
• The uniform asymptotic swallowtail approximation: practical methods for oscillating integrals with four coalescing saddle points
• 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
• Colored diffraction catastrophes.

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