  Let ${\mathsf F}$ be the Schur functor from the category of finite
dimensional ${\mathcal H}_{\vartriangle}(r)_\mathbb C$-modules to the category
of finite dimensional ${\mathcal S}_{\vartriangle}(n,r)_{\mathbb{C}}$-modules,
where ${\mathcal H}_{\vartriangle}(r)_\mathbb C$ is the extended affine Hecke
algebra of type $A$ over ${\mathbb C}$ and ${\mathcal
S}_{\vartriangle}(n,r)_{\mathbb{C}}$ is the affine quantum Schur algebras over
$\mathbb{C}$. The Drinfeld polynomials associated with ${\mathsf F}(V)$ were
determined in \cite[7.6]{CP96} and \cite[4.4.2]{DDF} in the case of $n>r$,
where $V$ is an irreducible ${\mathcal H}_{{\vartriangle}}(r)_\mathbb
C$-module. We will generalize the result in [loc. cit.] to the case of $n\leq
r$. As an application, we will classify finite dimensional irreducible
${\mathcal S}_{\vartriangle}(n,r)_{\mathbb{C}}$-modules, which has been proved
in \cite[4.6.8]{DDF} using a different method. Furthermore we will use it to
generalize \cite[(6.5f)]{Gr80} to the affine case.
