Asymptotic expansion of a general integral

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 452, Issue 1955, 1996, Pages 2655-2690

  Sellier, A ^a  

^a ECOLE POLYTECHNIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001440823     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1996.0142     Document Type: Article

References (11)

1. Bleistein, N. & Handelsman, R. A. 1975 Asymptotic expansions of integrals. New York: Holt, Rinehart, and Winston.
2. Estrada, R. & Kanwal, R. P. 1990 A distributional theory for asymptotic expansions. Proc. R. Soc. Land. A 428, 399-430.
3. Estrada, R. & Kanwal, R. P. 1994 Asymptotic analysis: a distributional approach. Boston: Birkhauser.
4. Gel'fand, I. M. & Shilov, G. E. 1964 Generalized functions, vol. 1. New York: Academic Press.
5. Guermond, J. L. 1987 A systematic formula for the asymptotic expansion of singular integrals. J. Appl. Math. Phys 38, 717-729.
6. Hadamard, J. 1932 Lecture on Cauchy's problem in linear differential equations. New York: Dover.
7. Handelsman, R. & Keller, J. B. 1967 Axially symmetric potential flow around a slender body. J. Fluid. Mech. 28, 131-147.
8. Schwartz, L. 1966 Theorie des distributions. Paris: Hermann.
9. Sellier, A. 1994 Asymptotic expansions of a class of integrals". Proc. R. Soc. Land. A 445, 693-710.
10. Tuck, E. O. 1992 Analytical aspects of slender-body theory. In Wave asymptotics (ed. P. A. Martin & G. R. Wickham). Cambridge University Press.
11. Wong, R. 1989 Asymptotic approximations of integrals. Boston: Academic Press.