To compute the roots of a Legendre series, use the polynomial.legendre.legroots() method in Python. The method returns an array of the roots of the series. If all the roots are real, then out is also real, otherwise it is complex. The parameter c is a 1-D array of coefficients.
Steps
At first, import the required library −
from numpy.polynomial import legendre as L
To compute the roots of a Legendre series, use the polynomial.legendre.legroots() method in Python −
print("Result...\n",L.legroots((0, 1, 2)))
Get the datatype −
print("\nType...\n",L.legroots((0, 1, 2)).dtype)
Get the shape −
print("\nShape...\n",L.legroots((0, 1, 2)).shape)
Example
from numpy.polynomial import legendre as L # To compute the roots of a Legendre series, use the polynomial.legendre.legroots() method in Python print("Result...\n",L.legroots((0, 1, 2))) # Get the datatype print("\nType...\n",L.legroots((0, 1, 2)).dtype) # Get the shape print("\nShape...\n",L.legroots((0, 1, 2)).shape)
Output
Result... [-0.76759188 0.43425855] Type... float64 Shape... (2,)