101 citations · 758 across the 43 of their papers we have counts for
44 papers
Higher order deformed elliptic Ruijsenaars operators
Martin Hallnäs, Edwin Langmann, Masatoshi Noumi +1
We present four infinite families of mutually commuting difference operators which include the deformed elliptic Ruijsenaars operators. The trigonometric limit of this kind of oper…
From Kajihara's transformation formula to deformed Macdonald-Ruijsenaars and Noumi-Sano operators
Martin Hallnäs, Edwin Langmann, Masatoshi Noumi +1
Kajihara obtained in 2004 a remarkable transformation formula connecting multiple basic hypergeometric series associated with -type root systems of different ranks. By multiple…
Construction of eigenfunctions for the elliptic Ruijsenaars difference operators
Edwin Langmann, Masatoshi Noumi, Junichi Shiraishi
We present a perturbative construction of two kinds of eigenfunctions of the commuting family of difference operators defining the elliptic Ruijsenaars system. The first kind corre…
An infinite family of higher-order difference operators that commute with Ruijsenaars operators of type
Masatoshi Noumi, Ayako Sano
We introduce a new infinite family of higher-order difference operators that commute with the elliptic Ruijsenaars difference operators of type . These operators are related wit…
Basic Properties of Non-Stationary Ruijsenaars Functions
Edwin Langmann, Masatoshi Noumi, Junichi Shiraishi
For any variable number, a non-stationary Ruijsenaars function was recently introduced as a natural generalization of an explicitly known asymptotically free solution of the trigon…
The Coxeter relations and KP map for non-commuting symbols
Adam Doliwa, Masatoshi Noumi
We give an action of the symmetric group on non-commuting indeterminates in terms of series in the corresponding Mal'cev-Newmann division ring. The action is constructed from the n…