On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. III: Clusters of saddle points

DOI10.1016/j.cam.2006.10.016zbMath1119.41031OpenAlexW2004776859MaRDI QIDQ2643093

Richard B. Paris

Publication date: 23 August 2007

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

Full work available at URL: https://doi.org/10.1016/j.cam.2006.10.016

zbMATH Keywords

asymptoticshyperasymptoticsHadamard expansionsLaplace-type integralsclusters of saddles

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) Asymptotic representations in the complex plane (30E15)

Related Items (2)

On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. IV: Poles ⋮ The evaluation of Bessel functions via exp-arc integrals

Cites Work

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• On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. I: Real variable
• On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. II: Complex variable
• Hyperasymptotic evaluation of the Pearcey integral via Hadamard expansions
• Expansions of the exponential integral in incomplete gamma functions
• On the higher–order Stokes phenomenon
• Exactification of the method of steepest descents: the Bessel functions of large order and argument
• The Stokes set of the cusp diffraction catastrophe
• Hyperasymptotics for integrals with saddles
• Computing the confluent hypergeometric function, \(M(a,b,x)\)

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