| On some new mixed modular equations involving Ramanujan's theta-functions |
| M. S. Mahadeva Naika, S. Chandankumar and M. Harish |
Abstract In his second notebook, Ramanujan recorded altogether 23 $P$--$Q$ modular equations involving his theta functions. In this paper, we establish several new mixed modular equations involving Ramanujan's theta-functions $\varphi$ and $\psi$ which are akin to those recorded in his notebook.
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Keywords: Modular equations; theta-functions. |
MSC: 33D10, 11A55, 11F27 |
Pages: 283--293 |
Volume 66 , Issue 3 , 2014 |
