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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)


A continued fraction expansion, with a truncation error estimate, for Dawson's integral

Author: J. H. McCabe
Journal: Math. Comp. 28 (1974), 811-816
MSC: Primary 65D20
MathSciNet review: 0371020
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Abstract: A continued fraction expansion for Dawson's integral is considered and an estimate of the truncation errors of the convergents of this continued fraction is provided. The continued fraction is shown to provide a sequence of rational approximations to the integral which have good convergence for both small and large values of the argument.

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PII: S 0025-5718(1974)0371020-3
Article copyright: © Copyright 1974 American Mathematical Society