Fourier-cosine transform of hyperbolic function

6 次查看（过去 30 天）
Asatur Khurshudyan
Asatur Khurshudyan 2012-7-19
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)

请先登录，再回答此问题。

采纳的回答

Walter Roberson
Walter Roberson 2012-7-19
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 个评论
显示 2更早的评论
Asatur Khurshudyan
Asatur Khurshudyan 2012-7-20
And what you think can it be solved by Symbolic Toolbox?
Walter Roberson
Walter Roberson 2012-7-20
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.

请先登录，再进行评论。

更多回答（0 个）

类别

在 Help Center 和 File Exchange 中查找有关 Assumptions 的更多信息

标签

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

Translated by