在Python中将一个Laguerre系列乘以另一个

要将一个Laguerre系列乘以另一个，使用Python中的polynomial.laguerre.lagmul()方法。返回两个Laguerre系列c1 * c2的乘积。系数的顺序是从最低阶项到最高阶项，即[1,2,3]表示系列P_0 + 2*P_1 + 3*P_2。参数c1和c2是按照从低到高顺序排列的Laguerre系列系数的1-D数组。

步骤

首先，导入所需的库-

import numpy as np
from numpy.polynomial import laguerre as L

创建拉盖尔级数系数的一维数组−

c1 = np.array([1,2,3])
c2 = np.array([3,2,1])

显示系数数组−

print("Array1...\n",c1)
print("\nArray2...\n",c2)

显示数据类型−

print("\nArray1 datatype...\n",c1.dtype)
print("\nArray2 datatype...\n",c2.dtype)

检查两个数组的维度 –

print("\nDimensions of Array1...\n",c1.ndim)
print("\nDimensions of Array2...\n",c2.ndim)

检查两个数组的形状 –

print("\nShape of Array1...\n",c1.shape)
print("\nShape of Array2...\n",c2.shape)

使用Python中的polynomial.laguerre.lagmul()方法，可以将一个拉盖尔级数乘以另一个拉盖尔级数。 Numpy−

print("\nResult (multiply)....\n",L.lagmul(c1, c2))

示例

import numpy as np
from numpy.polynomial import laguerre as L

# Create 1-D arrays of Laguerre series coefficients
c1 = np.array([1,2,3])
c2 = np.array([3,2,1])

# Display the arrays of coefficients
print("Array1...\n",c1)
print("\nArray2...\n",c2)

# Display the datatype
print("\nArray1 datatype...\n",c1.dtype)
print("\nArray2 datatype...\n",c2.dtype)

# Check the Dimensions of both the arrays
print("\nDimensions of Array1...\n",c1.ndim)
print("\nDimensions of Array2...\n",c2.ndim)

# Check the Shape of both the arrays
print("\nShape of Array1...\n",c1.shape)
print("\nShape of Array2...\n",c2.shape)

# To multiply one Laguerre series to another, use the polynomial.laguerre.lagmul() method in Python Numpy
print("\nResult (multiply)....\n",L.lagmul(c1, c2))

输出

Array1...
   [1 2 3]

Array2...
   [3 2 1]

Array1 datatype...
int64

Array2 datatype...
int64

Dimensions of Array1...
1

Dimensions of Array2...
1

Shape of Array1...
(3,)

Shape of Array2...
(3,)

Result (multiply)....
   [ 10. 4. 16. -12. 18.]