*(English)*Zbl 0995.33001

The paper is concerned with polynomials that satisfy the three-term recurrence relation

where $c=0$ corresponds to a classical system, while $c\ne 0$ yields an associated system. Some examples where such polynomials occur are given in the first section. Next, the author considers the problem of finding measures of orthogonality for the polynomials; four methods (using moments, generating function, suitable special functions, and minimal soulutions, respectively) are reviewed and discussed. Finally, some particular cases are considered at some length, viz., the associated Askey-Wilson polynomials, the continuous $q$-Jacobi polynomials, the continuous $q$-ultraspherical polynomials, and the associated Wilson polynomials. There is a rather extensive bibliography.

##### MSC:

33-02 | Research monographs (special functions) |

33C45 | Orthogonal polynomials and functions of hypergeometric type |

42C05 | General theory of orthogonal functions and polynomials |

33D45 | Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) |