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arXiv · 2005.02203

Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems

Hjalmar Rosengren·Michael J. Schlosser
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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 $A_r$ elliptic Jackson summation, as well as several quadratic, cubic and quartic summation formulas.

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BibTeXRIS

Hjalmar Rosengren, Michael J. Schlosser. 2020-05-05. Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems. https://doi.org/10.3842/sigma.2020.088

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