Hadamard expansions for integrals with saddles coalescing with an endpoint

DOI10.1016/J.AML.2005.02.024zbMath1089.41028OpenAlexW2048230215MaRDI QIDQ812726

N. E. Zubov

Publication date: 24 January 2006

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2005.02.024

zbMATH Keywords

incomplete gamma functionshyperasymptoticsHadamard expansionsLaplace-type integralscoalescing saddle

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

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
• Some generalizations of the Hadamard expansion for the modified Bessel function.
• Exactification of the method of steepest descents: the Bessel functions of large order and argument
• On the use of Hadamard expansions in hyperasymptotic evaluation: differential equations of hypergeometric type

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