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apply


Usage

apply(L, f)


Parameter Type Description
L ${\mathbb{Q}}[n,E]$ A difference operator
f ${\mathbb{Q}}(n)$ 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 := (n+2)*(n+1)*E^2 -n*(n+1)*E -n;
2 --> K := kernel(L);
3 --> f := element(K, 1);
4 --> tex(f);

\begin{displaymath}
-{{1} \over {n}}
\end{displaymath}

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

\begin{displaymath}
0
\end{displaymath}


See Also

shift



Manuel Bronstein 2002-09-04