Fourier-cosine transform of hyperbolic function
6 Ansichten (letzte 30 Tage)
Ältere Kommentare anzeigen
Could you help me please with the Fourier cosine transform with respect to x variable of the following function?
tanh[b(a^2+x^2)^1/2]cos(ax)/((a^2+x^2)^1/2)
Recall, that the Fourier cosine transform of the function f(x) defines by
int(f(x),0,infinity)
1 Kommentar
Akzeptierte Antwort
Walter Roberson
am 19 Jul. 2012
If there is any solution at all, it would have to involve a transformation of variables. I tried a number of different representations of tanh() but none of them had an analytical solution for the fourier cosine transform.
Note: please edit existing questions instead of deleting them and re-posting.
4 Kommentare
Walter Roberson
am 20 Jul. 2012
I would not expect so, but I cannot rule it out. There are some known cases where the MATLAB Symbolic Toolbox can integrate some things that Maple cannot, but I have only seen one such case myself, and I have seen a number of integrals that Maple can handle easily that the Symbolic Toolbox cannot.
If you do not already have the Symbolic Toolbox you could request a trial of it to test with.
Weitere Antworten (0)
Siehe auch
Kategorien
Mehr zu Assumptions finden Sie in Help Center und File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!