2020/10/19 by Sergio A. Carrillo, Carrillo, Sergio A.
Mathematics · #30B30 #33E20 #40A05 #Advanced Mathematical Identities #Analytic Number Theory Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #History and Overview (math.HO) #Mathematical and Theoretical Analysis
paper · pdf · doi:10.48550/arxiv.2010.10290
openalex publication_date 2020/10/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Abel's continuity theorem for power series is a great tool to compute sums and prove properties of special functions. However, apart from two basic examples, this no longer occupies a place in Analysis courses. This note is an invitation to get acquainted with this theorem, its history, and many of its applications dispersed in the literature.