论文标题

亚伯连续定理的示例从哪里?

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

论文作者

Carrillo, Sergio A.

论文摘要

Abel的电源连续性定理是计算总和和证明特殊功能属性的绝佳工具。但是,除了两个基本示例外,这不再占据分析课程。本说明是邀请熟悉该定理,其历史以及其许多应用程序分散在文献中的邀请。

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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