Re: Bug 3! Gaussian integration in 5.0 is broken!

*To*: mathgroup at smc.vnet.net*Subject*: [mg43777] Re: Bug 3! Gaussian integration in 5.0 is broken!*From*: Paul Abbott <paul at physics.uwa.edu.au>*Date*: Sat, 4 Oct 2003 02:04:55 -0400 (EDT)*Organization*: The University of Western Australia*References*: <blj66o$1i8$1@smc.vnet.net>*Sender*: owner-wri-mathgroup at wolfram.com

In article <blj66o$1i8$1 at smc.vnet.net>, Konstantin L Kouptsov <kouptsov at wsu.edu> wrote: > Check this: > > Integrate[Exp[(I/h)*(x*Sqrt[B/2 + D] + x0)^2], {x, -Infinity, Infinity}] > > and observe the Erf[] functions that should not be there. Neither should x0. However, note the assumptions that Integrate makes. On the other hand, Assuming[x0 > 0 && B > 0 && D > 0 && h > 0, Integrate[E^((I*(Sqrt[B/2 + D]*x + x0)^2)/h), {x, -Infinity, Infinity}]] yields a reasonable result. Cheers, Paul -- Paul Abbott Phone: +61 8 9380 2734 School of Physics, M013 Fax: +61 8 9380 1014 The University of Western Australia (CRICOS Provider No 00126G) 35 Stirling Highway Crawley WA 6009 mailto:paul at physics.uwa.edu.au AUSTRALIA http://physics.uwa.edu.au/~paul