255 citations · 1.5k across the 50 of their papers we have counts for
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A Bailey tree for integrals
V. P. Spiridonov
The notion of integral Bailey pairs is introduced. Using the single variable elliptic beta integral, we construct an infinite binary tree of identities for elliptic hypergeometric…
Unit circle elliptic beta integrals
J. F. van Diejen, V. P. Spiridonov
We present some elliptic beta integrals with a base parameter on the unit circle, together with their basic degenerations.
Theta hypergeometric series
V. P. Spiridonov
We formulate general principles of building hypergeometric type series from the Jacobi theta functions that generalize the plain and basic hypergeometric series. Single and multiva…
Theta hypergeometric integrals
V. P. Spiridonov
We define a general class of (multiple) integrals of hypergeometric type associated with the Jacobi theta functions. These integrals are related to theta hypergeometric series thro…
The factorization method, self-similar potentials and quantum algebras
V. P. Spiridonov
This is a brief review of the Schrodinger's factorization method and its relations to supersymmetric quantum mechanics and its nonlinear (parastatistical, etc) modifications, self-…