On the use of Hadamard expansions in hyperasymptotic evaluation: differential equations of hypergeometric type

DOI10.1017/S0308210500003139zbMath1067.33004OpenAlexW2012425886MaRDI QIDQ4826263

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Publication date: 11 November 2004

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

Full work available at URL: https://doi.org/10.1017/s0308210500003139

zbMATH Keywords

asymptoticshyperasymptoticsHadamard expansionsdifferential equations of hypergeometric type

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Computation of special functions and constants, construction of tables (65D20) Asymptotic expansions of solutions to ordinary differential equations (34E05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Numerical approximation and evaluation of special functions (33F05)

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On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. II: Complex variable ⋮ Hadamard expansions for integrals with saddles coalescing with an endpoint

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