Adiga, Chandrashekar and Nasser, Bulkhali Saeed Abdo (2015) On Ramanujan's general theta function and a generalization of the borweins' cubic theta functions. Asian-European Journal of Mathematics, 8 (1). p. 1550002.
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Official URL: https://www.worldscientific.com/doi/abs/10.1142/S1...
Abstract
The Borwein brothers have introduced and studied three cubic theta functions. Many generalizations of these functions have been studied as well. In this paper, we introduce a new generalization of these functions and establish general formulas that are connecting our functions and Ramanujan's general theta function. Many identities found in the literature follow as a special case of our identities. We further derive general formulas for certain products of theta functions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Ramanujans General Theta Function and Cubic Theta Functions and Jacobi Triple Product Identity |
| Subjects: | E Mathematical Science > Mathematics |
| Divisions: | Department of > Mathematics |
| Depositing User: | Users 19 not found. |
| Date Deposited: | 09 Jul 2019 05:19 |
| Last Modified: | 15 Jul 2022 09:23 |
| URI: | http://eprints.uni-mysore.ac.in/id/eprint/4948 |
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