Evaluate a 2D Laguerre series at points (x,y) with 1D array of coefficient using NumPy in Python

In this article, we will Evaluate a 2D Laguerre series at points (x,y) with a 1D array of coefficient 

Laguerre.lagval2d method

In Python, laguerre.lagval2d() is used to evaluate a 2D Laguerre series at points (x,y). where coefficient_array is the input NumPy 1D array with coefficients and points referred to as x and y. The first parameter can be a list of points so we have to provide two lists such that each list has an x-point and y-point. The second parameter is a NumPy array of coefficients ordered such that it is of 3 Dimensions.

Syntax: laguerre.lagval2d(x,y,c)

Parameters:

• x,y: array_like, compatible objects
• c: Array of coefficients.

Return: The values of the two dimensional polynomial at points

Example 1:

In this example, we are creating a NumPy array with 5 coefficients to evaluate Laguerre Series at points [3,4],[1,2].

Output:

[45 67 54 53 15]
1
(5,)
[-42.375      -79.04166667]

Example 2:

In this example, we are creating a NumPy array with 6 coefficients and evaluating Laguerre Series at points [1,4],[1,2].

Output:

[45 67 54 53 67 15]
1
(6,)
[ -66.20833333 -141.875]