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math-ph2014
Properties of the zeros of the polynomials belonging to the q-Askey scheme
Oksana Bihun, Francesco Calogero
In this paper we provide properties -- which are, to the best of our knowledge, new -- of the zeros of the polynomials belonging to the q-Askey scheme. These findings include Dioph…
math-ph2014★ 2 cited
Solvable and/or integrable many-body models on a circle
Oksana Bihun, Francesco Calogero
Various many-body models are treated, which describe points confined to move on a plane circle. Their Newtonian equations of motion ("accelerations equal forces") are integrabl…