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Golden Ratio and a Ramanujan-Type Integral
Department of Mathematical Sciences, University of Illinois at Springfield, Springfield, IL 62703,USA
Received: 1 November 2012; in revised form: 2 March 2013 / Accepted: 5 March 2013 / Published: 20 March 2013
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.
Keywords: golden ratio; Ramanujan integral; Rogers–Ramanujan continued fraction
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MDPI and ACS Style
Chan, H.-C. Golden Ratio and a Ramanujan-Type Integral. Axioms 2013, 2, 58-66.
Chan H-C. Golden Ratio and a Ramanujan-Type Integral. Axioms. 2013; 2(1):58-66.
Chan, Hei-Chi. 2013. "Golden Ratio and a Ramanujan-Type Integral." Axioms 2, no. 1: 58-66.