Parametric Evaluations of the Rogers Ramanujan Continued Fraction

2010/11/15 by Nikos Bagis, Bagis, Nikos
Mathematics · #Advanced Mathematical Identities #Analytic Number Theory Research #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.1011.3521

Abstract

In this article with the help of the inverse function of the singular moduli we evaluate the Rogers Ranmanujan continued fraction and his first derivative.

Related

• The Rogers--Ramanujan continued fraction
• Generalizations of Ramanujans Continued fractions
• The complete evaluation of Rogers Ramanujan and other continued fractions with elliptic functions
• A formula for the convergents of a continued fraction of Ramanujan
• Notes On a Continued Fraction of Ramanujan