Year: 2026
Type: article
Abstract: 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.
Source: Hardy-Ramanujan Journal
Authors: Bruce Berndt, Victoria Reuter
Institution: University of Illinois Urbana-Champaign
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W7156303528
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