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Axioms 2013, 2(1), 58-66; doi:10.3390/axioms2010058

Golden Ratio and a Ramanujan-Type Integral

Department of Mathematical Sciences, University of Illinois at Springfield, Springfield, IL 62703,USA
Received: 1 November 2012 / Revised: 2 March 2013 / Accepted: 5 March 2013 / Published: 20 March 2013
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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.
Keywords: golden ratio; Ramanujan integral; Rogers–Ramanujan continued fraction golden ratio; Ramanujan integral; Rogers–Ramanujan continued fraction
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Chan, H.-C. Golden Ratio and a Ramanujan-Type Integral. Axioms 2013, 2, 58-66.

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