论文标题
Ramanujan的$ Q $ - 连接分数
Ramanujan's $q$-continued fractions
论文作者
论文摘要
Ramanujan的$ Q $ - 连接分数是Ramanujan开发基本高几何系列的核心部分。它们出现在第三部分的第16章和第V部分的第32章{\ em Ramanujan的笔记本}的第V部分，由Berndt编辑，在Andrews和Berndt的第I卷中，以及Berndt的{\ em Ramanujan的丢失笔记本}。在这些参考文献中，持续的分数如它们在Ramanujan的原始笔记本中出现的顺序所示。我们总结了几位作者在此主题上的工作，并重新组织了Ramanujan的$ Q $连接部分。
Ramanujan's $q$-continued fractions are a central part of Ramanujan's development of basic hypergeometric series. They appear in Chapter 16 of Part III and Chapter 32 of Part V of {\em Ramanujan's Notebooks} edited by Berndt, and in Volume I of Andrews and Berndt's {\em Ramanujan's Lost Notebook}. In these references the continued fractions as presented in the order in which they appear in Ramanujan's original notebooks. We summarize the work of several authors on this topic and re-organize Ramanujan's $q$-continued fractions.
