Complex hypergeometric functions and integrable many-body problems

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 ellipt...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2022-09, Vol.55 (38), p.385203
Main Authors: Sarkissian, G A, Spiridonov, V P
Format: Article
Language:English
Subjects:
complex gamma function
elliptic hypergeometric integrals
elliptic integrable systems
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Summary: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.
ISSN:1751-8113
1751-8121
DOI:10.1088/1751-8121/ac88a4