### Recurrence relations for the Fresnel integral <in align="c">0∞exp <fen lp="par">-ct<rp post="par">dtt <fen $lp="par">1+t^{2}<rp$ post="par"> and similar integralsRecurrence relations for the Fresnel integral <in align="c">0∞exp <fen lp="par">-ct<rp post="par">dtt <fen $lp="par">1+t^{2}<rp$ post="par"> and similar integrals

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 Author Acton, Forman S. Source ACM Digital Library Content type Text Publisher Association for Computing Machinery (ACM) File Format PDF Language English
 Subject Keyword Fresnel integral ♦ Recurrence relations ♦ Exponential integral Abstract 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. Description Affiliation: Princeton Univ., Princeton, NJ (Acton, Forman S.) Age Range 18 to 22 years ♦ above 22 year Educational Use Research Education Level UG and PG Learning Resource Type Article Publisher Date 2005-08-01 Publisher Place New York Journal Communications of the ACM (CACM) Volume Number 17 Issue Number 8 Page Count 2 Starting Page 480 Ending Page 481

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Source: ACM Digital Library