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MathGroup Archive 2004

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Re: proof of formula for log(-t) found in Mathematica?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg48285] Re: proof of formula for log(-t) found in Mathematica?
  • From: "Roger L. Bagula" <rlbtftn at netscape.net>
  • Date: Fri, 21 May 2004 03:54:33 -0400 (EDT)
  • References: <c89q4h$t5b$1@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

ComplexExpand[Log[-t]]=Log[t^2]/2+I*Arg[-t]
No absolute value is given.
Roger L. Bagula wrote:
> I found this while doing work on complex exponents:
> 
> f(t)=Log[-t]=Log[t^2]/2+I*Arg[-t]
> 
> It is a result built into Mathematica.
> I would like to see how it is derived as it seem counter intuitive in 
> it's results.
> Respectfully,
> Roger L. Bagula
> 


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