255 citations · 1.5k across the 50 of their papers we have counts for
50 papers
A parafermionic hypergeometric function and supersymmetric 6j-symbols
Elena Apresyan, Gor Sarkissian, Vyacheslav P. Spiridonov
We study properties of a parafermionic generalization of the hyperbolic hypergeometric function appearing as the most important part in the fusion matrix for Liouville field theory…
Elliptic hypergeometric function and -symbols for the SL(2,) group
S. E. Derkachov, G. A. Sarkissian, V. P. Spiridonov
We show that the complex hypergeometric function describing -symbols for group is a special degeneration of the -function -- an elliptic analogue of the E…
Rational hypergeometric identities
Gor A. Sarkissian, Vyacheslav P. Spiridonov
A special singular limit is considered for the Faddeev modular quantum dilogarithm (hyperbolic gamma function) and the corresponding hyperbolic integrals. It brings…
Self-similar potentials in quantum mechanics and coherent states
V. P. Spiridonov
A brief description of the relations between the factorization method in quantum mechanics, self-similar potentials, integrable systems and the theory of special functions is given…
The Endless Beta Integrals
Gor A. Sarkissian, Vyacheslav P. Spiridonov
We consider a special degeneration limit (or in the context of Liouville quantum field theory) for the most general univariate hyperbolic beta in…
Introduction to the theory of elliptic hypergeometric integrals
V. P. Spiridonov
We give a brief account of the key properties of elliptic hypergeometric integrals -- a relatively recently discovered top class of transcendental special functions of hypergeometr…