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FourierCosTransform
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| dimitris 2007-04-27, 8:10 am |
| 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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| dimitris 2007-04-28, 8:09 am |
| 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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