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 |
|---|---|
| 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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