Recurrence relations for the Fresnel integral 0∞exp -ctdtt 1+t2
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.