Hadamard expansions for integrals with saddles coalescing with an endpoint

Applied Mathematics Letters

Volumn 18, Issue 12, 2005, Pages 1389-1395

  Paris, R B ^a   Kaminski, D ^b  

^a UNIVERSITY OF ABERTAY DUNDEE   (United Kingdom)

^b UNIVERSITY OF LETHBRIDGE   (Canada)

Author keywords

Coalescing saddle; Hadamard expansions; Hyperasymptotics; Incomplete gamma functions; Laplace type integrals

Indexed keywords

ASYMPTOTIC STABILITY; COALESCENCE; INTEGRATION; LAPLACE TRANSFORMS; PARAMETER ESTIMATION;

COALESCING SADDLE; HADAMARD EXPANSIONS; HYPERASYMPTOTICS; INCOMPLETE GAMMA FUNCTIONS; LAPLACE-TYPE INTEGRALS;

INTEGRAL EQUATIONS;

EID: 26844529337     PISSN: 08939659     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.aml.2005.02.024     Document Type: Article

References (6)

1. S. Yang, and H.M. Srivastava Some generalizations of the Hadamard expansion for the modified Bessel function Appl. Math. Lett. 17 2004 591 596
2. R.B. Paris On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. I: real variable J. Comput. Appl. Math. 167 2004 293 319
3. R.B. Paris On the use of Hadamard expansions in hyperasymptotic evaluation of Laplace-type integrals. II: complex variable J. Comput. Appl. Math. 167 2004 321 343
4. D. Kaminski, and R.B. Paris On the use of Hadamard expansions in hyperasymptotic evaluation: differential equations of hypergeometric type Proc. Roy. Soc. Edinburgh 134A 2004 159 178
5. R.B. Paris Exactification of the method of steepest descents: the Bessel functions of large order and argument Proc. R. Soc. Lond. 460A 2004 2737 2759
6. R. Wong Asymptotic Expansion of Integrals 1989 Academic Press London