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MathGroup Archive 2007

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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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