Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems
Classical Analysis and ODEs
2020-09-25 v2
Abstract
Multidimensional matrix inversions provide a powerful tool for studying multiple hypergeometric series. In order to extend this technique to elliptic hypergeometric series, we present three new multidimensional matrix inversions. As applications, we obtain a new elliptic Jackson summation, as well as several quadratic, cubic and quartic summation formulas.
Cite
@article{arxiv.2005.02203,
title = {Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems},
author = {Hjalmar Rosengren and Michael J. Schlosser},
journal= {arXiv preprint arXiv:2005.02203},
year = {2020}
}