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; in revised form: 2 March 2013 / Accepted: 5 March 2013 / Published: 20 March 2013
PDF Full-text Download PDF Full-Text [170 KB, uploaded 20 March 2013 15:37 CET]
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

Article Statistics

Load and display the download statistics.

Citations to this Article

Cite This Article

MDPI and ACS Style

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

AMA Style

Chan H-C. Golden Ratio and a Ramanujan-Type Integral. Axioms. 2013; 2(1):58-66.

Chicago/Turabian Style

Chan, Hei-Chi. 2013. "Golden Ratio and a Ramanujan-Type Integral." Axioms 2, no. 1: 58-66.

Axioms EISSN 2075-1680 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert