Continued Fractions in Entries 34 and 25 of Chapter 12 in Ramanujan's Second Notebook
Chapter 12 in Ramanujan's second notebook is devoted to continued fractions, many of which are evaluated in terms of Gamma functions. Using the theory of hypergeometric functions, we give new proofs of two of the most attractive continued fractions, and also two new companions.
Authors
- Bruce Berndt
- Victoria Reuter
Institutions
- University of Illinois Urbana-Champaign (US)
Publication Details
- Journal
- Hardy-Ramanujan Journal
- Published
- 2026-04-27
- DOI
- https://doi.org/10.46298/hrj.2026.17899
- Primary Topic
- Advanced Mathematical Identities
- Type
- article
- Field-Weighted Citation Impact
- 0.00