195 citations · 1.3k across the 50 of their papers we have counts for
50 papers
Branching Formula for -Toda Function of Type B
Ayumu Hoshino, Yusuke Ohkubo, Jun'ichi Shiraishi
We present a proof of the explicit formula for the asymptotically free eigenfunctions of the -Toda operator which was conjectured by the first and third authors. This form…
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…
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…
Branching Rules for Koornwinder Polynomials with One Column Diagrams and Matrix Inversions
Ayumu Hoshino, Jun'ichi Shiraishi
We present an explicit formula for the transition matrix from the type Koornwinder polynomials with one column diagrams, to the type…
Non-Stationary Ruijsenaars Functions for and Intertwining Operators of Ding-Iohara-Miki Algebra
Masayuki Fukuda, Yusuke Ohkubo, Jun'ichi Shiraishi
We construct the non-stationary Ruijsenaars functions (affine analogue of the Macdonald functions) in the special case , using the intertwining operators of the Ding-Io…
Lattice models, deformed Virasoro algebra and reduction equation
Michael Lashkevich, Yaroslav Pugai, Jun'ichi Shiraishi +1
We study the fused currents of the deformed Virasoro algebra (DVA). By constructing a homotopy operator we show that for special values of the parameter of the algebra fused curren…