Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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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)
  • Received : 2019.08.01
  • Accepted : 2019.09.30
  • Published : 2019.12.30
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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

Acknowledgement

Supported by : Korea Science Academy of KAIST

This work was supported by the Korea Science Academy of KAIST with funds from the Ministry of Science and ICT.

References

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  1. EVALUATIONS OF THE CUBIC CONTINUED FRACTION BY SOME THETA FUNCTION IDENTITIES: REVISITED vol.28, pp.1, 2019, https://doi.org/10.7468/jksmeb.2021.28.1.27