symmetricKernel

**Usage**

symmetricKernel(L, n)

Parameter |
Type |
Description |
---|---|---|

L |
A differential operator | |

n |
A positive integer |

**Returns**

symmetricKernel L returns a basis for , where is the symmetric power of .

**Remarks**

Using symmetricKernel can be more efficient than computing the symmetric power and its kernel separately.

**Example**

We compute the rational kernel of the second symmetric power of

as follows:

1 --> L := D^7 - x*D + 1/2; 2 --> K := symmetricKernel(L, 2); 3 --> tex(K);

**See Also**

kernel,symmetricPower

Manuel Bronstein 2002-09-04