Jacobi poly

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jacobi_poly
Computes the coefficients of Jacobi polynomials

Other toolboxes required none
Function category 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.