A continued fraction expansion for a generalization of Dawson’s integral
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- by D. Dijkstra PDF
- Math. Comp. 31 (1977), 503-510 Request permission
Abstract:
A continued fraction expansion for a generalization of Dawson’s integral is presented. An exact formula for the truncation error in terms of the confluent hypergeometric function is derived. The expansion is shown to have good convergence properties for both small and large values of the argument.References
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- J. H. McCabe, A continued fraction expansion, with a truncation error estimate, for Dawson’s integral, Math. Comp. 28 (1974), 811–816. MR 371020, DOI 10.1090/S0025-5718-1974-0371020-3
- P. Wynn, The numerical efficiency of certain continued fraction expansions. IA, Nederl. Akad. Wetensch. Proc. Ser. A 65 = Indag. Math. 24 (1962), 127–137. MR 0139254, DOI 10.1016/S1385-7258(62)50012-7
Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Math. Comp. 31 (1977), 503-510
- MSC: Primary 40A15
- DOI: https://doi.org/10.1090/S0025-5718-1977-0460956-3
- MathSciNet review: 0460956