Multiple elliptic integrals and differential equations
Classical Analysis and ODEs
2024-03-13 v1
Abstract
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 with integrals involving .
Keywords
Cite
@article{arxiv.2403.07298,
title = {Multiple elliptic integrals and differential equations},
author = {John M. Campbell and M. Lawrence Glasser and Yajun Zhou},
journal= {arXiv preprint arXiv:2403.07298},
year = {2024}
}
Comments
8 pages