apply

Usage

apply(L, f)

Parameter	Type	Description
L	$\mathbbm{Q}[x,\frac d{dx}]$	A differential operator
f	$\mathbbm{Q}(x)$	A rational function

Returns

Returns $L(f)$.

Example

We can verify that an element is in the kernel of an operator by applying the operator to it:

1 --> L := (x^9+x^3)*D^3 + 18*x^8* D^2 - 90*x*D -30*(11*x^6-3);
2 --> K := kernel(L);
3 --> f := element(K, 1);
4 --> tex(f);

$${{x} \over {x^{6}+1}}$$

5 --> tex(apply(L, f));

$$0$$

See Also

diff