How to prove Ramanujan's $q$-continued fractions
History and Overview
2015-02-03 v3 Number Theory
Abstract
By using Euler's approach of using Euclid's algorithm to expand a power series into a continued fraction, we show how to derive Ramanujan's -continued fractions in a systematic manner.
Keywords
Cite
@article{arxiv.1205.5455,
title = {How to prove Ramanujan's $q$-continued fractions},
author = {Gaurav Bhatnagar},
journal= {arXiv preprint arXiv:1205.5455},
year = {2015}
}
Comments
19 Pages. Please give comments and suggestions. Updated explanation of convergence of continued fractions. Fixed some errors in convergence arguments of some continued fractions in ver 2