Adiga, Chandrashekar and Bulkhali, N. A. S. (2013) Some modular relations analogues to the Ramanujan's forty identities with its applications to partitions. Axioms, 2 (1). pp. 20-43. ISSN 2075-1680
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Official URL: https://www.mdpi.com/2075-1680/2/1/20
Abstract
Recently, the authors have established a large class of modular relations involving the Rogers-Ramanujan type functions J(q) and K(q) of order ten. In this paper, we establish further modular relations connecting these two functions with Rogers-Ramanujan functions, Göllnitz-Gordon functions and cubic functions, which are analogues to the Ramanujan's forty identities for Rogers-Ramanujan functions. Furthermore, we give partition theoretic interpretations of some of our modular relations.
| Item Type: | Article |
|---|---|
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | Arshiya Kousar Library Assistant |
| Date Deposited: | 09 Sep 2019 09:27 |
| Last Modified: | 08 Jul 2022 11:00 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/7845 |
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