Recurrence for Fresnel integral
Acton.
The class of functions defined by ∫∞0[exp(-cX)dt/(1 + Y) (√t)k] where X and Y are either t or t2 and k is -1, 0, or 1 can be evaluated by recurrences for all but small values of the parameter c. These recurrences, given here, are more efficient than the usual asymptotic series.
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