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Re: Difficulties with Re

  • To: mathgroup at smc.vnet.net
  • Subject: [mg98361] Re: [mg98349] Difficulties with Re
  • From: Adriano Pascoletti <adriano.pascoletti at dimi.uniud.it>
  • Date: Wed, 8 Apr 2009 02:49:38 -0400 (EDT)
  • References: <200904060905.FAA26352@smc.vnet.net>

Positivity is not essential in your problem. ComplexExpand does what you
want:

In[3]:= ComplexExpand[Re[Exp[(x + I*y)^2]]]
Out[3]= E^(x^2 - y^2)*Cos[2*x*y]


In[4]:= ComplexExpand[Re[Exp[x + I*y]]]
Out[4]= E^x*Cos[y]


Adriano Pascoletti


2009/4/6 Aaron Fude <aaronfude at gmail.com>

> Hi,
>
> Of the following two expressions, the first "works", while the second
> doesn't. How does one make it work?
>
> Assuming[x > 0 && y > 0, Re[Exp[x + I y]] // Simplify]
> Assuming[x > 0 && y > 0, Re[Exp[(x + I y)^2]] // Simplify]
>
> Many thanks in advance,
>
> Aaron
>
>


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