Adiga, Chandrashekar and Kim, T. and Naika, M. S. M. and Madhusudhan, H. S.
(2004)
*On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions.*
Indian Journal of Pure and Applied Mathematics, 35 (9).
pp. 1047-1062.
ISSN 0019-5588

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## Abstract

In this paper we give two integral representations for the Ramanuian's cubic continued fraction V(q) and also derive a modular equation relating V(q) and V(q(3)). We also establish some modular equations and a transformation formula for Ramanujan's theta-function psi(-q). As an application of these, we compute several new explicit evaluations of theta-functions and Ramanujan's cubic continued fraction.

Item Type: | Article |
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Uncontrolled Keywords: | cubic continued fraction; integral representation; modular equation; theta-function; transformation formula |

Subjects: | E Mathematical Science > Mathematics |

Divisions: | Department of > Mathematics |

Depositing User: | Users 23 not found. |

Date Deposited: | 03 Sep 2019 11:26 |

Last Modified: | 08 Jul 2022 11:15 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/6550 |

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