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arXiv · 2010.10290

Where did the examples of Abel's continuity theorem go?

Sergio A. Carrillo
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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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Sergio A. Carrillo. 2020-10-19. Where did the examples of Abel's continuity theorem go?. https://arxiv.org/abs/2010.10290

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