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math-ph2021★ 8 cited
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…
math.QA2021★ 1 cited
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…