Some Continued Fractions for $\pi$ AND $G$
Amrik Singh Nimbran, Paul Levrie
TL;DR
This paper introduces new classes of infinite series and continued fractions involving pi and Catalan's constant G, building on classical work by Euler and Ramanujan, and includes additional miscellaneous continued fractions.
Contribution
It presents novel continued fractions and series for pi and G, expanding on historical mathematical frameworks with new formulas.
Findings
New continued fractions for pi and G derived from classical work
Additional miscellaneous continued fractions provided
Enhanced understanding of series related to pi and G
Abstract
We present here two classes of infinite series and the associated continued fractions involving and Catalan's constant based on the work of Euler and Ramanujan. A few sundry continued fractions are also given.
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Taxonomy
TopicsAnalytic Number Theory Research · Advanced Algebra and Geometry · Advanced Mathematical Identities