Normal holomorphic maps from C* to a projective space

TL;DR

This paper generalizes Ostrowski's theorem on normality of meromorphic functions to the setting of holomorphic maps from the punctured complex plane to projective spaces, expanding understanding of their normality properties.

Contribution

It extends Ostrowski's theorem from meromorphic functions to holomorphic maps into projective spaces, providing a broader framework for normality criteria.

Findings

Generalization of Ostrowski's theorem to projective space maps

Characterization of normal families of holomorphic maps from C*

New criteria for normality in higher-dimensional settings

Abstract

A theorem of A. Ostrowski describing meromorphic functions f such that the family {f(kz):k in C*} is normal, is generalized to holomorphic maps from $C*$ to a projective space.