Where did the examples of Abel's continuity theorem go?
History and Overview
2020-10-21 v1 Classical Analysis and ODEs
Abstract
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.
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Cite
@article{arxiv.2010.10290,
title = {Where did the examples of Abel's continuity theorem go?},
author = {Sergio A. Carrillo},
journal= {arXiv preprint arXiv:2010.10290},
year = {2020}
}