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Complex hypergeometric functions and integrable many-body problems

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arxiv 2105.15031 v2 pith:ARTKBKSZ submitted 2021-05-31 math-ph math.CAmath.MPnlin.SI

G. A. Sarkissian , V. P. Spiridonov This is my paper · ORCID
classification math-phmath.CAmath.MPnlin.SI
keywords hypergeometriccomplexellipticequationfunctionsintegrablebodydegenerations
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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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Cited by 1 Pith paper

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  1. Ruijsenaars spectral transform

    math-ph 2024-11 reject novelty 6.0 of 10

    The Ruijsenaars spectral transform, a many-variable Fourier generalization, is claimed to have an inversion formula for complex parameters and to be unitary in four parameter regimes.

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