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A Continued Fraction Expansion, with a Truncation Error Estimate, for Dawson's Integral

J. H. McCabe
Mathematics of Computation
Vol. 28, No. 127 (Jul., 1974), pp. 811-816
DOI: 10.2307/2005702
Stable URL: http://www.jstor.org/stable/2005702
Page Count: 6
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Continued Fraction Expansion, with a Truncation Error Estimate, for Dawson's Integral
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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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