Elliptic Hypergeometric Sum/Integral Transformations and Supersymmetric Lens Index

We prove a pair of transformation formulas for multivariate elliptic hypergeometric sum/integrals associated to the An and BCn root systems, generalising the formulas previously obtained by Rains. The sum/integrals are expressed in terms of the lens elliptic gamma function, a generalisation of the e...

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Bibliographic Details
Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2018
Main Authors: Kels, A.P., Yamazaki, M.
Format: Article
Language:English
Published: Інститут математики НАН України 2018
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209451
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Elliptic Hypergeometric Sum/Integral Transformations and Supersymmetric Lens Index / A. P. Kels, M. Yamazaki // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 41 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine