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
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.