### Abstract

In the present paper, we establish relationship between continued fraction U(-q) of order 12 and Ramanujan's cubic continued fraction G(-q) and G(q^{n}) for n = 1,2,3,5 and 7. Also we evaluate U(q) and U(-q) by using two parameters for Ramanujan's theta-functions and their explicit values.

Original language | English |
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Pages (from-to) | 319-332 |

Number of pages | 14 |

Journal | Kyungpook Mathematical Journal |

Volume | 58 |

Issue number | 2 |

DOIs | |

Publication status | Published - 01-01-2018 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

*Kyungpook Mathematical Journal*,

*58*(2), 319-332. https://doi.org/10.5666/KMJ.2018.58.2.319

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*Kyungpook Mathematical Journal*, vol. 58, no. 2, pp. 319-332. https://doi.org/10.5666/KMJ.2018.58.2.319

**Relations between Ramanujan's cubic continued fraction and a continued fraction of order 12 and its evaluations.** / Kumar, Belakavadi Radhakrishna Srivatsa; Vidya, Harekala Chandrashekara.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Relations between Ramanujan's cubic continued fraction and a continued fraction of order 12 and its evaluations

AU - Kumar, Belakavadi Radhakrishna Srivatsa

AU - Vidya, Harekala Chandrashekara

PY - 2018/1/1

Y1 - 2018/1/1

N2 - In the present paper, we establish relationship between continued fraction U(-q) of order 12 and Ramanujan's cubic continued fraction G(-q) and G(qn) for n = 1,2,3,5 and 7. Also we evaluate U(q) and U(-q) by using two parameters for Ramanujan's theta-functions and their explicit values.

AB - In the present paper, we establish relationship between continued fraction U(-q) of order 12 and Ramanujan's cubic continued fraction G(-q) and G(qn) for n = 1,2,3,5 and 7. Also we evaluate U(q) and U(-q) by using two parameters for Ramanujan's theta-functions and their explicit values.

UR - http://www.scopus.com/inward/record.url?scp=85049802022&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85049802022&partnerID=8YFLogxK

U2 - 10.5666/KMJ.2018.58.2.319

DO - 10.5666/KMJ.2018.58.2.319

M3 - Article

AN - SCOPUS:85049802022

VL - 58

SP - 319

EP - 332

JO - Kyungpook Mathematical Journal

JF - Kyungpook Mathematical Journal

SN - 1225-6951

IS - 2

ER -