Bibliographic Details
| Title: |
Multiple elliptic integrals and differential equations |
| Authors: |
Campbell, John M., Glasser, M. Lawrence, Zhou, Yajun |
| Publication Year: |
2024 |
| Collection: |
Mathematics |
| Subject Terms: |
Mathematics - Classical Analysis and ODEs, 33C75 |
| More Details: |
We introduce and prove evaluations for families of multiple elliptic integrals by solving special types of ordinary and partial differential equations. As an application, we obtain new expressions of Ramanujan-type series of level 4 and associated singular values for the complete elliptic integral $\mathbf K$ with integrals involving $\mathbf K$.
Comment: 8 pages |
| Document Type: |
Working Paper |
| Access URL: |
http://arxiv.org/abs/2403.07298 |
| Accession Number: |
edsarx.2403.07298 |
| Database: |
arXiv |
