3 papers
math.CA2026
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.
math-ph2025
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…
math.CA2024
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.…