# sympy.integrals.transforms.fourier_transform() in python

• Last Updated : 31 Oct, 2022

With the help of fourier_transform() method, we can compute the Fourier transformation and it will return the transformed function.

Fourier transformation function

Syntax : fourier_transform(f, x, k, **hints)

Return : Return the transformed function.

Example #1 :

In this example we can see that by using fourier_transform() method, we are able to compute the Fourier transformation and return the transformed function.

## Python3

 `# import fourier_transform``from` `sympy ``import` `fourier_transform, exp``from` `sympy.abc ``import` `x, k` `# Using fourier_transform() method``gfg ``=` `fourier_transform(exp(``-``x``*``*``2``), x, k)` `print``(gfg)`

Output :

sqrt(pi)*exp(-pi**2*k**2)

Example #2 :

## Python3

 `# import fourier_transform``from` `sympy ``import` `fourier_transform, exp``from` `sympy.abc ``import` `x, k` `# Using fourier_transform() method``gfg ``=` `fourier_transform(exp(``-``x``*``*``2``), x, ``4``)` `print``(gfg)`

Output :

sqrt(pi)*exp(-16*pi**2)

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