Korean J. Math. Vol. 27 No. 4 (2019) pp.1043-1059
DOI: https://doi.org/10.11568/kjm.2019.27.4.1043

Evaluations of the cubic continued fraction by some theta function identities

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Published: Dec 30, 2019
Keywords:
cubic continued fraction, theta function identities, parameters for the theta function
Mathematics Subject Classification:
11F27, 33C90, 11F20, 33C05, 33C75

Main Article Content

Jinhee Yi
Department of Mathematics and Computer Science Korea Science Academy of KAIST, Busan 47162, Korea
Dae Hyun Paek
Department of Mathematics Education Busan National University of Education Busan 47503, Korea

Abstract

In this paper, we use some theta function identities involving two parameters $h_{n,k}$ and $h'_{n,k}$ for the theta function $\varphi$ to establish new evaluations of Ramanujan's cubic continued fraction.


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Supporting Agencies

Korea Science Academy of KAIST with funds from the Ministry of Science and ICT

References

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