Two complementary relations for the Rogers-Ramanujan continued fraction
Number Theory
2022-04-19 v2
Abstract
Let be the Rogers-Ramanujan continued fraction. We give different proofs of two complementary relations for given by Ramanujan and proved by Watson and Ramanathan. Our proofs only use product expansions for classical Jacobi theta functions.
Keywords
Cite
@article{arxiv.2112.12081,
title = {Two complementary relations for the Rogers-Ramanujan continued fraction},
author = {Sumit Kumar Jha},
journal= {arXiv preprint arXiv:2112.12081},
year = {2022}
}