The Determinant of an Elliptic Sylvesteresque Matrix

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• Main Authors: Bhatnagar, G., Krattenthaler, C.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209520
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: The Determinant of an Elliptic Sylvesteresque Matrix / G. Bhatnagar, C. Krattenthaler // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 13 назв. — англ.

We evaluate the determinant of a matrix whose entries are elliptic hypergeometric terms and whose form is reminiscent of Sylvester matrices. A hypergeometric determinant evaluation of a matrix of this type has appeared in the context of approximation theory, in the work of Feng, Krattenthaler, and X...