在Python中计算给定复根的Legendre级数的根

要计算Legendre级数的根，使用Python中的polynomial.legendre.lagroots()方法。该方法返回一个数组，包含级数的所有根。如果所有的根都是实数，则输出也是实数，否则它是复数。参数c是一个一维数组，包含系数。

步骤

首先，导入所需的库 –

from numpy.polynomial import legendre as L

计算Legendre级数的根−

j = complex(0,1)
print("Result...\n",L.legroots((-j, j)))

获取数据类型 −

print("\nType...\n",L.legroots((-j, j)).dtype)

获取形状−

print("\nShape...\n",L.legroots((-j, j)).shape)

示例

from numpy.polynomial import legendre as L

# To compute the roots of a Legendre series, use the polynomial.legendre.lagroots() 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.
j = complex(0,1)
print("Result...\n",L.legroots((-j, j)))

# Get the datatype
print("\nType...\n",L.legroots((-j, j)).dtype)

# Get the shape
print("\nShape...\n",L.legroots((-j, j)).shape)

输出

Result...
   [1.+0.j]

Type...
complex128

Shape...
(1,)