A note on the local coefficient problem

or one of its rotations. The conjecture was proved for n = 2, 3, and 4 by Bieberbach [1], Loewner [2] and Garabedian and Schiffer [3], respectively. In recent papers, it has been proved to be true if f is sufficiently close to K in one or more of the topologies defined by n (l) ~~~~~E I ak- k | k=2 (2) Re(2 - a2), (3) Re(3 - a3).