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MathGroup Archive 2001

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Re: Multiple choice question

  • To: mathgroup at smc.vnet.net
  • Subject: [mg26952] Re: Multiple choice question
  • From: "A. Ciarkowski" <aciark at ippt.gov.pl>
  • Date: Sat, 27 Jan 2001 20:00:16 -0500 (EST)
  • Organization: http://news.icm.edu.pl/
  • References: <943dj3$cjh@smc.vnet.net> <wq8a6.3201$nn4.99854@ralph.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Prof. J. Boersma from Eindhoven University of 
Technology has just sent me his remarks on proper 
analytic continuation of the Ei(x) function onto the
complex z (= x + I y) plane. In view of these remarks, 
I must correct myself: the integral

Integrate[ Exp[ I t 2 ]/(t - 1 - I), {t, 0, Infinity}] 

equals

Exp[2 I - 2] ( Pi I - ExpIntegralEi[ 2 - 2 I] ),

and hence the first result, Out[12], is correct.

Adam


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