How to define q-polynomial in a finite field GF(q^m)?

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Dear all,

A $q$-polynomial of $q$-degree $r$ in $GF(q^m)$ is a polynomial of the form $P(x) = \sum_{i=0}^{r}p_ix^{q^i}$ for $p_i \in GF(q^m)$, $p_r\neq 0$.

How to define this $q$-polynomial in $GF(q^m)$? I do not find this and its operations in Reference Manual.