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Re: FourierCosTransform
*To*: mathgroup at smc.vnet.net
*Subject*: [mg75405] Re: FourierCosTransform
*From*: dimitris <dimmechan at yahoo.com>
*Date*: Sat, 28 Apr 2007 06:01:12 -0400 (EDT)
*References*: <f0sfm5$n9q$1@smc.vnet.net>
How I would have said to a newbie?
"Your Mathematica code appeared in unreadable form; try
reposting again!"
So, here we go...
(I apologize for the incovinience.)
Here is the integral
In[2]:=
f[u_, y_, x_, m_] := Integrate[u*Sin[u*x]*Exp[(-y)*(Sqrt[1 + m^2*u^2]/
m)], {u, 0, Infinity}]
I e I want the Fourier Cosine Transform of the function u*Exp[(-
y)*(Sqrt[1 + m^2*u^2]/m)]
with respect to x. Where
x real
y>0 and m>0
I don't care about convergence conditions; just a finite part integral
even in Hadamard sense.
Thanks in advance for any help!
Dimitris
=CF/=C7 dimitris =DD=E3=F1=E1=F8=E5:
> Can we use someway Mathematica in order to get
> the Fourier Cosine Transform of the following function?
>
> In[6]:=
> f[x_, y_, m_,=EE_] := =EE*Exp[-((y*Sqrt[1 + m^2*=EE^2])/m)]
>
> where
>
> x is real
> y and m positive
>
> (I don't care about convergence conditions; just a finite part
> integral
> even in Hadamard sense.)
>
> Dimitris
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