The OrePoly Structure
•
|
An Ore polynomial is represented by an OrePoly structure. It consists of the constructor OrePoly with a sequence of coefficients starting with the one of degree zero. For example, in the differential case with the differential operator D, OrePoly(2/x, x, x+1, 1) represents the operator 2/x+xD+(x+1)D^2+D^3.
|
•
|
For a brief review of pseudo-linear algebra (also known as Ore algebra), see OreAlgebra.
|
|
Examples
|
|
>
|
|
Define the differential algebra.
>
|
|
| (1) |
>
|
|
| (2) |
>
|
|
| (3) |
Define the shift algebra.
>
|
|
| (4) |
>
|
|
| (5) |
>
|
|
| (6) |
Define the q-shift algebra.
>
|
|
| (7) |
>
|
|
| (8) |
>
|
|
| (9) |
|
|
Download Help Document
Was this information helpful?