| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4623957 | Journal of Mathematical Analysis and Applications | 2006 | 14 Pages |
Abstract
In this paper, we prove Ramanujan's circular summation formulas previously studied by S.S. Rangachari, S.H. Son, K. Ono, S. Ahlgren and K.S. Chua using properties of elliptic and theta functions. We also derive identities similar to Ramanujan's summation formula and connect these identities to Jacobi's and Dixon's elliptic functions. At the end of the paper, we discuss the connection of our results with the recent thesis of E. Conrad.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
