Multivariate Quadratic Transformations and the Interpolation Kernel

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2018
• ISSN: 1815-0659
• Main Author: Rains, E.M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2018
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/209445
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Multivariate Quadratic Transformations and the Interpolation Kernel / E.M. Rains // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 36 назв. — англ.

We prove a number of quadratic transformations of elliptic Selberg integrals (conjectured in an earlier paper of the author), as well as studying in depth the "interpolation kernel", an analytic continuation of the author's elliptic interpolation functions which plays a major role in...