  Representation theory for the Jordanian quantum algebra $U=U_h(sl(2))$ is
developed. Closed form expressions are given for the action of the generators
of U on the basis vectors of finite dimensional irreducible representations. It
is shown how representation theory of U has a close connection to combinatorial
identities involving summation formulas. A general formula is obtained for the
Clebsch-Gordan coefficients $C^{j_1,j_2,j}_{n_1,n_2,m}(h)$ of U. These
Clebsch-Gordan coefficients are shown to coincide with those of su(2) for
$n_1+n_2 \leq m$, but for $n_1+n_2 > m$ they are in general a nonzero monomial
in $h^{n_1+n_2-m}$.
