Notes On a Continued Fraction of Ramanujan
Nikos Bagis
TL;DR
This paper investigates a class of continued fractions introduced by Ramanujan, analyzing their properties and providing complete evaluations in specific cases, thereby deepening understanding of their mathematical structure.
Contribution
It offers new insights into Ramanujan's continued fractions and evaluates them explicitly in particular instances, expanding existing knowledge.
Findings
Complete evaluations for specific cases of Ramanujan's continued fractions
Enhanced understanding of the properties of these continued fractions
Identification of conditions under which they can be explicitly computed
Abstract
We study the properties of a general continued fraction of Ramanujan. In some certain cases we evaluate it completely.
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Taxonomy
TopicsAdvanced Mathematical Identities · Analytic Number Theory Research · Advanced Combinatorial Mathematics