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# Divide one Laguerre series by another in Python

To divide one Laguerre series by another, use the polynomial.laguerre.lagdiv() method in Python Numpy. The method returns a [quo,rem] array Of Laguerre series coefficients representing the quotient and remainder.

Returns the quotient-with-remainder of two Laguerre series c1 / c2. The arguments are sequences of coefficients from lowest order “term” to highest, e.g., [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 divide one Laguerre series by another, use the polynomial.laguerre.lagdiv() method in Python Numpy −

print("\nResult (divide)....\n",L.lagdiv(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 divide one Laguerre series by another, use the polynomial.laguerre.lagdiv() method in Python Numpy print("\nResult (divide)....\n",L.lagdiv(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 (divide).... (array([3.]), array([-8., -4.]))

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