# Jacobi poly

Jump to navigation
Jump to search

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 here to view this function's source code on github.