       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?

reposting again!"

So, here we go...

(I apologize for the incovinience.)

Here is the integral

In:=
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

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:=
> 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