A functionalized polymer defined by the formula ##STR00001## where .pi.
is a polymer chain, R.sup.10 is a divalent organic group, and .beta. is a
hydroxyl group, an alkoxyl group, or an amine group, where the amine
group can be represented by the formula --NR.sub.2, where at least one R
is a monovalent organic group and where the second R is hydrogen or a
monovalent organic group, and where the alkoxyl group can be represented
by the formula --OR', where R' is a monovalent organic group.