UNIVERSAL LAURENT SERIES

[摘要] Universal Taylor series are defined on simply connected domains, but they do not exist on an annulus. Instead we introduce universal Laurent or Laurent–Faber series on finitely connected domains in $mathbb{C}$. These are generic universalities. Furthermore, we study some properties of universal Laurent series on an annulus.

[学科分类] 数学（综合）

[关键词] Primary 30B30;30B41;universal series;generic property;Laurent series;Faber series