|
|||||
|
|
Analogues of Jacobi's inversion formula for the incomplete elliptic integral of the first kind |
|
| Authors: | Heng Huat Chan Zhi-Guo Liu |
| Institution: | a School of Mathematical Sciences, University of Sussex, BN1 9QH, Brighton, UK b Department of Mathematics, National University of Singapore, 2 Science Drive 2, Singapore 117543, Singapore c Department of Mathematics, East China Normal University, Shanghai 200062, P.R. China |
| Abstract: | In this article, we revisit Ramanujan's cubic analogue of Jacobi's inversion formula for the classical elliptic integral of the first kind. Our work is motivated by the recent work of Milne (Ramanujan J. 6(1) (2002) 7-149), Chan and Chua (Ramanujan J., to appear) on the representations of integers as sums of even squares. |
| Keywords: | 33E05 33C60 33C05 |
| 本文献已被 ScienceDirect 等数据库收录！ | |