Matrix Bailey Lemma and the Star-Triangle Relation

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2018
• Автори: Magadov, K.Yu., Spiridonov, V.P.
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2018
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/209883
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Matrix Bailey Lemma and the Star-Triangle Relation / K.Yu. Magadov, V.P. Spiridonov // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 25 назв. — англ.

We compare previously found finite-dimensional matrix and integral operator realizations of the Bailey lemma employing univariate elliptic hypergeometric functions. With the help of residue calculus, we explicitly show how the integral Bailey lemma can be reduced to its matrix version. As a conseque...