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http://dx.doi.org/10.7468/jksmeb.2021.28.4.377

EVALUATIONS OF THE ROGERS-RAMANUJAN CONTINUED FRACTION BY THETA-FUNCTION IDENTITIES  

Paek, Dae Hyun (Department of Mathematics Education, Busan National University of Education)
Publication Information
The Pure and Applied Mathematics / v.28, no.4, 2021 , pp. 377-386 More about this Journal
Abstract
In this paper, we use theta-function identities involving parameters 𝑙5,n, 𝑙'5,n, and 𝑙'5,4n to evaluate the Rogers-Ramanujan continued fractions $R(e^{-2{\pi}{\sqrt{n/20}}})$ and $S(e^{-{\pi}{\sqrt{n/5}}})$ for some positive rational numbers n.
Keywords
theta-function; modular equation; theta-function identity; Rogers-Ramanujan continued fraction;
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Times Cited By KSCI : 1  (Citation Analysis)
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