Golden Ratio and a Ramanujan-Type Integral

Axioms

关键词: golden ratio;    Ramanujan integral;    Rogers–Ramanujan continued fraction;   

DOI  :  10.3390/axioms2010058

来源: mdpi

【 摘 要 】

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.

【 授权许可】

CC BY   
© 2013 by the authors; licensee MDPI, Basel, Switzerland.