Complex hypergeometric functions and integrable many-body problems

Published 31 May 2021 in math-ph, math.CA, math.MP, and nlin.SI | (2105.15031v2)

Abstract: General reduction of the elliptic hypergeometric equation to the level of complex hypergeometric functions is described. The derived equation is generalized to the Hamiltonian eigenvalue problem for new rational integrable $N$-body systems emerging from particular degenerations of the elliptic Ruijsenaars and van Diejen models.

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