Python | sympy.euler() method
Last Updated :
14 Jul, 2019
With the help of sympy.euler() method, we can find the Euler number and Euler polynomial in SymPy.
euler(n) -
Syntax: euler(n)
Parameter:
n – It denotes the nth Euler number.
Returns: Returns the nth Euler number.
Example #1:
from sympy import * n = 4
print ( "Value of n = {}" . format (n))
nth_euler = euler(n)
print ( "Value of nth euler number : {}" . format (nth_euler))
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Output:
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:
from sympy import * n = 5
k = symbols( 'x' )
print ( "Value of n = {} and k = {}" . format (n, k))
nth_euler_poly = euler(n, k)
print ( "The nth euler polynomial : {}" . format (nth_euler_poly))
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Output:
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:
from sympy import * n = 4
k = 3
print ( "Value of n = {} and k = {}" . format (n, k))
nth_euler_poly = euler(n, k)
print ( "The nth euler polynomial value : {}" . format (nth_euler_poly))
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Output:
Value of n = 4 and k = 3
The nth euler polynomial value : 30
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