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http://dx.doi.org/10.11568/kjm.2019.27.4.1043

EVALUATIONS OF THE CUBIC CONTINUED FRACTION BY SOME THETA FUNCTION IDENTITIES  

Yi, Jinhee (Department of Mathematics and Computer Science Korea Science Academy of KAIST)
Paek, Dae Hyun (Department of Mathematics Education Busan National University of Education)
Publication Information
Korean Journal of Mathematics / v.27, no.4, 2019 , pp. 1043-1059 More about this Journal
Abstract
In this paper, we use some theta function identities involving two parameters hn,k and h'n,k for the theta function φ to establish new evaluations of Ramanujan's cubic continued fraction.
Keywords
cubic continued fraction; theta function identities; parameters for the theta function;
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Times Cited By KSCI : 3  (Citation Analysis)
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