Multiply one Laguerre series to another in Python

PythonNumpyServer Side ProgrammingProgramming

To multiply one Laguerre series to another, use the polynomial.laguerre.lagmul() method in Python Numpy. Returns the multiplication of two Laguerre series c1 * c2. The sequences of coefficients are from lowest order term to highest, i.e., [1,2,3] represents the series P_0 + 2*P_1 + 3*P_2. The parameters c1 and c2 are 1-D arrays of Laguerre series coefficients ordered from low to high.

Steps

At first, import the required library −

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))

Example

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))

Output

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.]
raja
Updated on 03-Mar-2022 06:27:24

Advertisements