Finite unions of balls in C^n are rationally convex

TL;DR

This paper demonstrates that finite unions of disjoint closed balls in complex n-space are rationally convex, building on existing results by Duval and Sibony to simplify the proof.

Contribution

The paper establishes the rational convexity of finite unions of disjoint closed balls in C^n using known results, providing a straightforward proof.

Findings

Finite unions of disjoint closed balls in C^n are rationally convex.

The proof leverages existing results by Duval and Sibony.

Simplifies understanding of rational convexity in complex analysis.

Abstract

It is shown that the rational convexity of any finite union of disjoint closed balls in C^n follows easily from the results of Duval and Sibony.