fourier cosine transform



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

.