  In this paper we present an addition to Askey's scheme of q-hypergeometric
orthogonal polynomials involving classes of q-special functions which do not
consist of polynomials only. The special functions are q-analogues of the
Jacobi and Bessel function, and are Askey-Wilson functions, big q-Jacobi
functions and little q-Jacobi functions and the corrresponding q-Bessel
functions. The generalised orthogonality relations and the second order
q-difference equations for these families are given. Limit transitions between
these families are discussed. The quantum group theoretic interpretations are
discussed shortly.
