Revisiting an infinitely nested radical
Aung Phone Maw
TL;DR
This paper explores Ramanujan's infinitely nested radical, applying his methods to discover new variants of such radicals, expanding understanding of their structure and properties.
Contribution
It introduces new infinitely nested radicals by extending Ramanujan's original approach, offering novel mathematical insights.
Findings
Derived new forms of nested radicals
Enhanced understanding of radical convergence
Extended Ramanujan's original methods
Abstract
We revisit an infinitely nested radical by Ramanujan. Utilizing the full strength of his method, we shall arrive at some new infinitely nested radicals.
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Taxonomy
TopicsGraph theory and applications · Analytic Number Theory Research · Advanced Mathematical Identities