Multiply a Chebyshev series by an independent variable in Python

To multiply a Chebyshev series by an independent variable, use the polynomial.chebyshev.chebmulx() method in Python Numpy. The method returns an array representing the result of the multiplication. The parameters c1 and c2 are 1-D arrays of Chebyshev series coefficients ordered from low to high.

Steps

At first, import the required libraries -

import numpy as np
from numpy.polynomial import chebyshev as C

Create an array −

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

Display the array −

print("Our Array...\n",x)

Check the Dimensions −

print("\nDimensions of our Array...\n",x.ndim)

Get the Datatype −

print("\nDatatype of our Array object...\n",x.dtype)

Get the Shape −

print("\nShape of our Array object...\n",x.shape)

To multiply a Chebyshev series by an independent variable, use the polynomial.chebyshev.chebmulx() method −

print("\nResult....\n",C.chebmulx(x))

Example

import numpy as np
from numpy.polynomial import chebyshev as C

# Create an array
x = np.array([1, 2, 3])

# Display the array
print("Our Array...\n",x)

# Check the Dimensions
print("\nDimensions of our Array...\n",x.ndim)

# Get the Datatype
print("\nDatatype of our Array object...\n",x.dtype)

# Get the Shape
print("\nShape of our Array object...\n",x.shape)

# To multiply a Chebyshev series by an independent variable, use the polynomial.chebyshev.chebmulx() method in Python Numpy

# The method returns an array representing the result of the multiplication.
print("\nResult....\n",C.chebmulx(x))

Output

Our Array...
[1 2 3]

Dimensions of our Array...
1

Datatype of our Array object...
int64

Shape of our Array object...
(3,)

Result....
[1. 2.5 1. 1.5]