Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems

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 ᵣ elliptic Jackson summation, as wel...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2020
Main Authors: Rosengren, Hjalmar, Schlosser, Michael J.
Format: Article
Language:English
Published: Інститут математики НАН України 2020
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/210760
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Multidimensional Matrix Inversions and Elliptic Hypergeometric Series on Root Systems. Hjalmar Rosengren and Michael J. Schlosser/ SIGMA 16 (2020), 088, 21 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine