On the use of Hadamard expansions in hyperasymptotic evaluation. I. Real variables

DOI10.1098/rspa.2001.0823zbMath1039.33500OpenAlexW4252586623MaRDI QIDQ4531668

Richard B. Paris

Publication date: 2001

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2001.0823

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Numerical approximation and evaluation of special functions (33F05)

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A \(q\)-analogue of the exponential integral ⋮ 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 ⋮ Numerical calculation of Bessel, Hankel and Airy functions ⋮ The evaluation of Bessel functions via exp-arc integrals ⋮ High-precision evaluation of the Bessel functions via Hadamard series

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