For a power series $f(z) = \sum^\infty_{k = 0} a_kz^k$ let $S_n(f)$ denote the maximum modulus of the zeros of the $n$th partial sum of $f$ and let $r_n(f)$ denote ...

Proceedings of the American Mathematical Society, Vol. 126, No. 4 (Apr., 1998), pp. 1181-1189 (9 pages) The aim of this paper is to investigate the properties of the maximum of partial sums for a ...