1 citations · 1 across the 5 of their papers we have counts for
5 papers
Algebraic valued group structures on , Kontsevich-type polynomials, and multiplication formulas, I
Victor Buchstaber, Ilia Gaiur, Vladimir Rubtsov
The theory of a two-valued algebraic group structure on a complex plane and complex projective line is developed. In this theory, depending on the choice of the neutral element, th…
Product formulas for the Higher Bessel functions
Ilia Gaiur, Vladimir Rubtsov, Duco van Straten
We consider the generating function for the reciprocals -th power of factorials. We show a connection of product formulas for such series with the periods for certain…
Isomonodromic deformations: Confluence, Reduction Quantisation
Ilia Gaiur, Marta Mazzocco, Vladimir Rubtsov
In this paper we study the isomonodromic deformations of systems of differential equations with poles of any order on the Riemann sphere as Hamiltonian flows on the product of co-a…
Dualities for rational multi-particle Painlevé systems: Spectral versus Ruijsenaars
Ilia Gaiur, Vladimir Rubtsov
The extension of the Painlevé-Calogero coorespondence for n-particle Inozemtsev systems raises to the multi-particle generalisations of the Painlevé equations which may be obtained…
Lax representation and quadratic first integrals for a family of non-autonomous second-order differential equations
Dmitry I. Sinelshchikov, Ilia Yu. Gaiur, Nikolay A. Kudryashov
We consider a family of non-autonomous second-order differential equations, which generalizes the Liénard equation. We explicitly find the necessary and sufficient conditions for m…