Incomplete Laplace integrals - uniform asymptotic expansion with application to the incomplete beta function
Journal Article
·
· SIAM J. Math. Anal.; (United States)
The analytical approach of Temme (1983 and 1985), based on uniform asymptotic expansions, is extended to an additional class of incomplete Laplace integrals. The terminology is introduced; the construction of the formal series is explained; representations for the remainders are derived; the asymptotic nature of the expansions is explored; and error bounds are determined. Numerical results are presented for the case of the incomplete beta function. 14 references.
- Research Organization:
- Centrum voor Wiskunde en Informatica, Amsterdam, Netherlands
- OSTI ID:
- 5458142
- Journal Information:
- SIAM J. Math. Anal.; (United States), Journal Name: SIAM J. Math. Anal.; (United States) Vol. 18; ISSN SJMAA
- Country of Publication:
- United States
- Language:
- English
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