Problems and Results on Polynomials and Interpolation

This is not a survey paper . I am somewhat out of touch with this subject and therefore would not dare to attempt such a paper . I shall just discuss some of the problems my collaborators and I have worked on for more than 40 years . In particular, I shall concentrate on problems where there has been some progress recently apart from this I shall discuss a few of my favourite problems . Most of the problems discussed are mentioned in [51, [6] or [7] . These papers all contain extensive references and many solved and unsolved problems. Many of the problems in [7] were settled by Pommerenke and Elbert (for references see [6] ) . First of all, I shall discuss problems on polynomials and then problems on interpolation .