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FourierCosTransform

• To: mathgroup at smc.vnet.net
• Subject: [mg75374] FourierCosTransform
• From: dimitris <dimmechan at yahoo.com>
• Date: Fri, 27 Apr 2007 05:23:26 -0400 (EDT)

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