13 citations · 19 across the 6 of their papers we have counts for
6 papers
Askey-Wilson continued fraction at
A. R. Ismailov, V. P. Spiridonov
The continued fraction corresponding to the Askey-Wilson polynomials for is explicitly expressed as a ratio of two terminating -hypergeometric series.
From hyperbolic to complex Euler integrals
N. M. Belousov, G. A. Sarkissian, V. P. Spiridonov
Hyperbolic hypergeometric integrals are defined as Barnes-type integrals of products of hyperbolic gamma functions. Their reduction to ordinary hypergeometric functions is well kno…
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 tw…
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…
Complex hypergeometric functions and integrable many-body problems
G. A. Sarkissian, V. P. Spiridonov
General reduction of the elliptic hypergeometric equation to the level of complex hypergeometric functions is described. The derived equation is generalized to the Hamiltonian eige…