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math.CA2016
How to Discover the Rogers--Ramunujan Identities
Gaurav Bhatnagar
We examine a method to conjecture two very famous identities that were conjectured by Ramanujan, and later found to be known to Rogers.
math.CO2016★ 1 cited
A bibasic Heine transformation formula and Ramanujan's transformations
Gaurav Bhatnagar
We study Andrews and Berndt's organization of Ramanujan's transformation formulas in Chapter 1 of their book Ramanujan's Lost Notebook, Part II. In the process, we rediscover a bib…
math.CA2016★ 1 cited
A formula for the convergents of a continued fraction of Ramanujan
Gaurav Bhatnagar, Michael D. Hirschhorn
In Entry 16, Chapter 16 of his notebooks, Ramanujan himself gave a formula for the convergents of the famous Rogers-Ramanujan continued fraction. We provide a similar formula for t…