125 citations · 165 across the 5 of their papers we have counts for
5 papers
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…
Matrix Bailey Lemma and the Star-Triangle Relation
Kamil Yu. Magadov, Vyacheslav P. Spiridonov
We compare previously found finite-dimensional matrix and integral operator realizations of the Bailey lemma employing univariate elliptic hypergeometric functions. With the help o…
From Principal Series to Finite-Dimensional Solutions of the Yang-Baxter Equation
Dmitry Chicherin, Sergey E. Derkachov, Vyacheslav P. Spiridonov
We start from known solutions of the Yang-Baxter equation with a spectral parameter defined on the tensor product of two infinite-dimensional principal series representations of th…
Universal Superpositions of Coherent States and Self-Similar Potentials
V. Spiridonov
A variety of coherent states of the harmonic oscillator is considered. It is formed by a particular superposition of canonical coherent states. In the simplest case, these superpos…