On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals: II. complex variable

Journal of Computational and Applied Mathematics

Volumn 167, Issue 2, 2004, Pages 321-343

  Paris, R B ^a  

^a UNIVERSITY OF ABERTAY DUNDEE   (United Kingdom)

Author keywords

Asymptotics; Hadamard expansions; Hyperasymptotics; Laplace type integrals

Indexed keywords

FUNCTIONS; INTEGRATION;

HADAMARD EXPANSIONS; STOKES LINE;

LAPLACE TRANSFORMS;

MATHEMATICAL ANALYSIS;

EID: 2442560106     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cam.2003.10.021     Document Type: Article

References (9)

1. Berry M.V. Uniform asymptotic smoothing of Stokes's discontinuities Proc. Roy. Soc. London A 412 1989 7-21
2. Howls C.J. Hyperasymptotics for integrals with finite endpoints Proc. Roy. Soc. London A 439 1992 373-396
3. D. Kaminski, R.B. Paris, On the use of Hadamard expansions in hyperasymptotic evaluation: differential equations of hypergeometric type, Technical Report MS 03:04, University of Abertay Dundee, 2003, to appear in Proc. R. Soc. Edinburgh.
4. Paris R.B. On the use of Hadamard expansions in hyperasymptotic evaluation: I. Real variables Proc. Roy. Soc. London A 457 2001 2835-2853
5. Paris R.B. On the use of Hadamard expansions in hyperasymptotic evaluation: II. Complex variables Proc. Roy. Soc. London A 457 2001 2855-2869
6. R.B. Paris, On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals: I. real variable, J. Comput. Appl. Math.
7. Paris R.B. Kaminski D. Asymptotics and Mellin-Barnes Integrals 2001 Cambridge University Press Cambridge
8. Watson G.N. A Treatise on the Theory of Bessel Functions 1952 Cambridge University Press Cambridge
9. Whittaker E.T. Watson G.N. Modern Analysis 1952 Cambridge University Press Cambridge