A survey of general orthogonal polynomials for weights on finite and infinite intervals

We survey the analytic aspects of general o.p.'s (orthogonal polynomials) associated with weights on finite and infinite intervals, concentrating on their asymptotics. We consider also the associated o.p.'s on the circle, and briefly discuss o.p.'s for complex weights.Part time at Department of Mathematics, Witwatersrand University, 1 Jan Smuts Avenue, Johannesburg 2001, Republic of South Africa.