Journal of the
Korean Mathematical Society JKMS

This article discusses questions in one and several complex variables about the size of the sum of the moduli of the terms of the series expansion of a bounded holomorphic function. Although the article is partly expository, it also includes some previously unpublished results with complete proofs.

Keywords: Bohr radius, power series, Reinhardt domain, random polynomials

MSC numbers: Primary 32A05; Secondary 30B10