Abstract
We derive an explicit expression for the eigenfunctions and the corresponding eigenvalues of the operator [q1/4J+(q) + q-1/4J-(q)] qJ3(q)/2 in an arbitrary irreducible representation of the algebra suq(2). The general form of the intertwining operator AJ(q), which is a q-extension of the classical su(2)-operator aJ, J1aJ = aJJ3, is also found. The matrix elements of AJ(q) are expressed in terms of the dual q-Kravchuk polynomials.