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Multiply one Laguerre series to another in Python
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.]
Updated on: 03-Mar-2022
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