A fundamental theorem for algebroid function in k-punctured complex plane

Abstract

The main purpose of this article is to study the value distribution of algebroid function in the k-punctured complex plane. We establish the second fundamental theorems for algebroid function concerning small algebroid functions in the k-punctured complex plane, which extend the Nevanlinna theory for algebroid functions from single connected domain to multiple connected domain.

Keywords

• algebroid function
• k-puncture plane
• small algebroid function