sympy.integrals.transforms.inverse_sine_transform() in python

With the help of inverse_sine_transform() method, we can compute the inverse sine transformation and return the unevaluated function.

Inverse sine transformation

Syntax : inverse_sine_transform(F, k, x, **hints)

Return : Return the unevaluated function.

Example #1 :

In this example we can see that by using inverse_sine_transform() method, we are able to compute the inverse sine transformation and return the evaluated function.

Python3

# import inverse_sine_transform
from sympy import inverse_sine_transform, exp, sqrt, gamma, pi
from sympy.abc import x, k, a

# Using inverse_sine_transform() method
gfg = inverse_sine_transform(2**((1-2 * a)/2)*k**(a - 1)*gamma(-a / 2 + 1)/gamma((a + 1)/2), k, x)

print(gfg)

Output :

x**(-a)

Example #2 :

Python3

# import inverse_sine_transform
from sympy import inverse_sine_transform, exp, sqrt, gamma, pi
from sympy.abc import x, k, a

# Using inverse_sine_transform() method
gfg = inverse_sine_transform(2**((1-2 * a)/2)*k**(a - 1)*gamma(-a / 2 + 1)/gamma((a + 1)/2), k, 3)

print(gfg)

Output :

(1/3)**a