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

Royal Society of Edinburgh - Proceedings A

Volumn 134, Issue 1, 2004, Pages 159-178

  Kaminski, D ^a   Paris, R B ^b  

^a UNIVERSITY OF LETHBRIDGE   (Canada)

^b UNIVERSITY OF ABERTAY DUNDEE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1942508182     PISSN: 03082105     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0308210500003139     Document Type: Conference Paper

References (8)

1. M. Abramowitz and I. Stegun (eds). Handbook of mathematical functions (New York: Dover, 1965).
2. C. M. Bender and S. A. Orszag. Advanced mathematical methods for scientists and engineers (McGraw-Hill, 1978).
3. W. F. Kibble. A Bessel function expansion in terms of incomplete gamma functions. J. Indian Math. Soc. 3 (1939), 271-294.
4. F. W. J. Olver. Asymptotics and special functions (Academic, 1974).
5. R. B. Paris. On the use of Hadamard expansions in hyperasymptotic evaluation. I. Real variables. Proc. R. Soc. Lond. A 457 (2001), 2835-2853.
6. R. B. Paris. On the use of Hadamard expansions in hyperasymptotic evaluation. II. Complex variables. Proc. R. Soc. Lond. A 457 (2001), 2855-2869.
7. R. B. Paris. On the use of Hadamard expansions in hyperasymptotic evaluation: Laplace-type integrals. J. Comp. Appl. Math. (In the press.)
8. G. N. Watson. A treatise on the theory of Bessel functions (Cambridge University Press, 1952).