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Axioms
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Axioms
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Axioms
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https://dx.doi.org/10.3390/axi...
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Claim

Golden Ratio and a Ramanujan-Type Integral

Golden ratio and a Ramanujan-type integral
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 20 Mar 2013 English Publisher:MDPI AGJournal:Axioms, volume 2, pages 58-66 (eissn: 2075-1680, Copyright policy )
Authors: Chan, Hei-Chi;

doi: 10.3390/axioms2010058

Golden Ratio and a Ramanujan-Type Integral

Abstract

In this paper, we give a pedagogical introduction to several beautiful formulas discovered by Ramanujan. Using these results, we evaluate a Ramanujan-type integral formula. The result can be expressed in terms of the Golden Ratio.

Related Organizations
Keywords

Rogers–Ramanujan continued fraction, Partition identities; identities of Rogers-Ramanujan type, Continued fractions, Ramanujan integral, QA1-939, golden ratio, Mathematics, Rogers-Ramanujan continued fraction

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
gold