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Science Forum Index » Math - Symbolic Forum » fourier cosine transform
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| Author |
Message |
| dimitris |
 Posted: Thu Apr 26, 2007 8:38 am |
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Guest
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Can we use someway a CAS in order to get
the Fourier Cosine Transform of the following function?
In[6]:f[x_, y_, m_,_] := *Exp[-((y*Sqrt[1 + m^2*^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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| Nasser Abbasi |
| Posted: Fri Apr 27, 2007 12:57 pm |
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Guest
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Quote: "dimitris" <dimmechan@yahoo.com> wrote in message
news:1177594690.020700.234990@n15g2000prd.googlegroups.com...
Can we use someway a CAS in order to get
the Fourier Cosine Transform of the following function?
In[6]:=
f[x_, y_, m_,_] := *Exp[-((y*Sqrt[1 + m^2*^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
you are passing 'x' as parameter, but it is not in the function definition?
what is 'i' witht the little hat on it? is it supposed to be complex number
I?
what is the time domina and the transform domain symbols in this example?
Nasser |
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| dimitris |
| Posted: Sat Apr 28, 2007 2:58 am |
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Hello and thanks for your response.
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
Thanks in advance for any help!
Dimitris
Ο/Η Nasser Abbasi έγραψε:
Quote: "dimitris" <dimmechan@yahoo.com> wrote in message
news:1177594690.020700.234990@n15g2000prd.googlegroups.com...
Can we use someway a CAS in order to get
the Fourier Cosine Transform of the following function?
In[6]:> >f[x_, y_, m_,î_] := î*Exp[-((y*Sqrt[1 + m^2*î^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
you are passing 'x' as parameter, but it is not in the function definition?
what is 'i' witht the little hat on it? is it supposed to be complex number
I?
what is the time domina and the transform domain symbols in this example?
Nasser |
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| Back to top |
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