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Python | sympy.euler () method

Using the sympy.euler () method we can find the number Euler and Euler polynomial in SymPy. 

euler (n) —

Syntax: euler (n)

Parameter:
n - It denotes the nth Euler number.

Returns : Returns the n th Euler number.

Example # 1:

# import sympy

from sympy import * n = 4

print ( "Value of n = {}" . format (n))

 
# Use set the sympy.euler () method

nth_euler = euler (n) 

  

print ( "Value of nth euler number: {}" . format (nth_euler)) 

Exit :

 Value of n = 4 Value of nth euler number: 5 

euler (n, k) —

Syntax: euler (n, k)

Parameter:
n - It denotes the order of the Euler polynomial.
k - It denotes the variable in the Euler polynomial.

Returns: Returns the expression of the Euler polynomial or its value.

Example # 2:

< / p>

# import sympy

from sympy import * n = 5

k = symbols ( ` x` )

print ( "Value of n = {} and k = {}" . format (n, k))

  
# Use the sympy.euler () method

nth_euler_poly = euler (n, k) 

 

print ( "The nth euler polynomial: {}" . format (nth_euler_poly)) 

Exit:

 Value of n = 5 and k = x The nth euler polynomial: x ** 5 - 5 * x ** 4/2 + 5 * x ** 2/2 - 1/2 

Example # 3:

# import sympy

from sympy import * n = 4

k = 3

print ( "Value of n = {} and k = {}" . format (n, k))

 
# Use the sympy.euler () method

nth_euler_poly = euler (n, k) 

 

print ( "The nth euler polynomial value: {}" . format (nth_euler_poly)) 

Exit:

 Value of n = 4 and k = 3 The nth euler polynomial value: 30 
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