Ramanujan's $q$-continued fractions
Classical Analysis and ODEs
2022-08-29 v1 Number Theory
Abstract
Ramanujan's -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 -continued fractions.
Cite
@article{arxiv.2208.12656,
title = {Ramanujan's $q$-continued fractions},
author = {Gaurav Bhatnagar},
journal= {arXiv preprint arXiv:2208.12656},
year = {2022}
}
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