Hyperasymptotics and the Stokes' phenomenon

DOI10.1017/S0308210500030936zbMath0786.33004MaRDI QIDQ4277229

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Publication date: 7 February 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

hyperasymptoticStokes' phenomenon

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Asymptotic representations in the complex plane (30E15)

Related Items (4)

Uniform asymptotic expansions of integrals: A selection of problems ⋮ Exponential asymptotics and boundary-value problems: keeping both sides happy at all orders ⋮ Time development of exponentially small non-adiabatic transitions ⋮ Hyperdeterminants. I

Cites Work

• Unnamed Item
• Smoothing of the Stokes phenomenon using Mellin-Barnes integrals
• Stieltjes transforms and the Stokes phenomenon
• Uniform, Exponentially improved, Asymptotic Expansions for the Generalized Exponential Integral
• Uniform, Exponentially Improved, Asymptotic Expansions for the Confluent Hypergeometric Function and Other Integral Transforms
• Smoothing of the Stokes phenomenon for high-order differential equations
• Hyperasymptotics for integrals with saddles
• Hyperasymptotic expansions of confluent hypergeometric functions

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