Power Series in Several Complex Variables
G. P. Balakumar
TL;DR
This paper explains the convergence domains of power series in multiple complex variables using accessible methods, avoiding complex convexity concepts.
Contribution
It offers an exposition on convergence domains in several complex variables without relying on advanced convexity notions.
Findings
Clarifies the nature of convergence domains
Provides accessible explanations for complex analysis students
Avoids advanced convexity concepts
Abstract
The purpose of this article is to provide an exposition of domains of convergence of power series of several complex variables without recourse to relatively advanced notions of convexity.
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Taxonomy
TopicsPoint processes and geometric inequalities · Mathematical Inequalities and Applications · Mathematics and Applications