sympy.integrals.transforms.inverse_hankel_transform() in python

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With the help of inverse_hankel_transform() method, we can compute the inverse of hankel transformation and returns the unevaluated function by using this method.

inverse hankel transformation

Syntax : inverse_hankel_transform(F, k, r, nu, **hints)

Return : Return the unevaluated function.

Example #1 :

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

Python3

# import inverse_hankel_transform 
from sympy import hankel_transform, inverse_hankel_transform, gamma 
from sympy import gamma, exp, sinh, cosh 
from sympy.abc import r, k, m, nu, a 
  
ht = hankel_transform(5/(r*m), r, k, nu) 
  
# Using inverse_hankel_transform() method 
gfg = inverse_hankel_transform(ht, k, r, nu) 
  
print(gfg)

Output :

5/(m*r)

Example #2 :

Python3

# import inverse_hankel_transform 
from sympy import hankel_transform, inverse_hankel_transform, gamma 
from sympy import gamma, exp, sinh, cosh 
from sympy.abc import r, k, m, nu, a 
  
ht = hankel_transform(exp(-2*r), r, k, 0) 
  
# Using inverse_hankel_transform() method 
gfg = inverse_hankel_transform(ht, k, r, 0) 
  
print(gfg)