Multiple elliptic integrals and differential equations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914710855614464 |
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| author | Campbell, John M. Glasser, M. Lawrence Zhou, Yajun |
| author_facet | Campbell, John M. Glasser, M. Lawrence Zhou, Yajun |
| contents | 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 $\mathbf K$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_07298 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Multiple elliptic integrals and differential equations Campbell, John M. Glasser, M. Lawrence Zhou, Yajun Classical Analysis and ODEs 33C75 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 $\mathbf K$. |
| title | Multiple elliptic integrals and differential equations |
| topic | Classical Analysis and ODEs 33C75 |
| url | https://arxiv.org/abs/2403.07298 |