Adiga, Chandrashekar
(2012)
*Some new modular relations for the cubic functions.*
Southeast Asian Bulletin of Mathematics, 36 (6).
pp. 769-786.

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## Abstract

In this paper, we establish certain relations for the cubic functions \begin{linenomath*} \begin{align*} S(q):=& \sum_{n=0}^{\infty}\frac{(-q;q^2)_nq^{n^2+2n}}{(q^4;q^4)_n},\\ T(q):=& \sum_{n=0}^{\infty}\frac{q^{n^2}}{(q^2;q^2)_n} \end{align*}\end{linenomath*} which are analogous to Ramanujan's forty identities for the Rogers-Ramanujan functions. From our relations, we deduce some interesting color partition identities.

Item Type: | Article |
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Subjects: | E Mathematical Science > Mathematics |

Divisions: | Department of > Mathematics |

Depositing User: | C Swapna Library Assistant |

Date Deposited: | 27 Aug 2019 09:20 |

Last Modified: | 08 Jul 2022 11:05 |

URI: | http://eprints.uni-mysore.ac.in/id/eprint/7126 |

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