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 ...

Mathematica Scandinavica is a peer-reviewed journal in mathematics that has been published regularly since 1953. Mathematica Scandinavica is run on a non-profit basis by the five mathematical ...

I'm working on a challenge problem that was posted at school. I'm not looking for an answer, but rather a nudge in the right direction to be able to figure the problem out on my own.<BR><BR>The ...