Re: Please help!
- To: mathgroup at smc.vnet.net
- Subject: [mg28658] Re: [mg28649] Please help!
- From: BobHanlon at aol.com
- Date: Sat, 5 May 2001 04:00:43 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
You cannot have a pattern (T_0) in the Integral
Y = Integrate[Exp[-T^2/(2T0^2)]Exp[iwT], {T, -Infinity,
Infinity}, Assumptions -> T0 > 0]
E^iwT*Sqrt[2*Pi]*T0
Integrate[Y*Exp[beta2*w^2*z-iwT],{w,-Infinity,Infinity},
Assumptions -> beta2*z < 0]
(Sqrt[2]*Pi*T0)/Sqrt[(-beta2)*z]
Bob Hanlon
In a message dated 2001/5/4 12:37:23 AM, rex_chaos at 263.net writes:
>I wonder why I can't get the analytic form of the following integration
>by Mathematica:
> In[1] = Y=Integrate[Exp[-T^2/(2T_0^2)]Exp[iwT], {T, -Infinity,
> Infinity}]
> In[2] = Integrate[YExp[beta2*w^2*z-iwT],{w,-Infinity,Infinity}]
> Unforunately, the anwser given by Mathematica is the orginal formula
> I input.
> Would you please give me a hand?
>