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math-ph2019
Joint eigenfunctions for the relativistic Calogero-Moser Hamiltonians of hyperbolic type. III. Factorized asymptotics
Martin Hallnäs, Simon Ruijsenaars
In the two preceding parts of this series of papers, we introduced and studied a recursion scheme for constructing joint eigenfunctions of the Hamiltonians ar…
math-ph2019★ 10 cited
The Elliptic Painlevé Lax Equation vs. van Diejen's 8-Coupling Elliptic Hamiltonian
Masatoshi Noumi, Simon Ruijsenaars, Yasuhiko Yamada
The 8-parameter elliptic Sakai difference Painlevé equation admits a Lax formulation. We show that a suitable specialization of the Lax equation gives rise to the time-independent…