# Jacobi poly

 Other toolboxes required jacobi_poly Computes the coefficients of Jacobi polynomials none Helper functions
 This is a helper function that only exists to aid other functions in QETLAB. If you are an end-user of QETLAB, you likely will never have a reason to use this function.

jacobi_poly is a function that returns a vector containing the coefficients of the specified Jacobi polynomial.

## Syntax

• JP = jacobi_poly(A,B,N)

## Argument descriptions

• A: A real parameter (sometimes called alpha) of the Jacobi polynomials.
• B: A real parameter (sometimes called beta) of the Jacobi polynomials.
• N: The degree of the Jacobi polynomial (a non-negative integer).

## Examples

The Jacobi polynomials are typically denoted by the notation $$P^{(\alpha,\beta)}_n$$. In the $$\alpha = \beta = 1, n = 3$$ case, we have $$P^{(1,1)}_3(z) = 7z^3 - 3z$$, which we can see via the following code:

>> jacobi_poly(1,1,3)

ans =

7     0    -3     0

## Source code

Click on "expand" to the right to view the MATLAB source code for this function.