The Laguerre polynomial of degree n and parameter a satisfy the following recurrence relation:
|
These polynomials are orthogonal for the scalar product
<f,g>= | ∫ |
| f(x)g(x)xae−xdx |
The laguerre command finds the Laguerre polynomials.
Examples.
| a2−a x+ |
| a+ |
| x2−2 x+1 |
| a2−a y+ |
| a+ |
| y2−2 y+1 |
| b2−b y+ |
| b+ |
| y2−2 y+1 |