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