4 papers
On relation of the genus one Moore-Seiberg identity to the Baxter Q-operator in the hyperbolic Ruijsenaars model
Elena Apresyan, Gor Sarkissian
In this paper we show how the Baxter Q-operator and the product formula for eigenfunctions of two-particle hyperbolic Ruijsenaars system can be derived from the genus one Moore-Sei…
Complex rational Ruijsenaars model. The two-particle case
N. M. Belousov, G. A. Sarkissian, V. P. Spiridonov
We consider a complex rational degeneration of the hyperbolic Ruijsenaars model emerging in the limit (or in CFT) and investigate in detail the…
Complex binomial theorem and pentagon identities
N. M. Belousov, G. A. Sarkissian, V. P. Spiridonov
We consider different pentagon identities realized by the hyperbolic hypergeometric functions and investigate their degenerations to the level of complex hypergeometric functions.…
Complex and rational hypergeometric functions on root systems
G. A. Sarkissian, V. P. Spiridonov
We consider some new limits for the elliptic hypergeometric integrals on root systems. After the degeneration of elliptic beta integrals of type I and type II for root systems $A_n…