49 citations · 348 across the 45 of their papers we have counts for
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Bannai-Ito polynomials and dressing chains
Maxim Derevyagin, Satoshi Tsujimoto, Luc Vinet +1
Schur-Delsarte-Genin (SDG) maps and Bannai-Ito polynomials are studied. SDG maps are related to dressing chains determined by quadratic algebras. The Bannai-Ito polynomials and the…
Families of superintegrable Hamiltonians constructed from exceptional polynomials
Sarah Post, Satoshi Tsujimoto, Luc Vinet
We introduce a family of exactly-solvable two-dimensional Hamiltonians whose wave functions are given in terms of Laguerre and exceptional Jacobi polynomials. The Hamiltonians cont…
Padé interpolation for elliptic Painlevé equation
Masatoshi Noumi, Satoshi Tsujimoto, Yasuhiko Yamada
An interpolation problem related to the elliptic Painlevé equation is formulated and solved. A simple form of the elliptic Painlevé equation and the Lax pair are obtained. Explicit…
Quantum State Transfer in a Two-dimensional Regular Spin Lattice of Triangular Shape
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet +1
Quantum state transfer in a triangular domain of a two-dimensional, equally-spaced, spin lat- tice with non-homogeneous nearest-neighbor couplings is analyzed. An exact solution of…
An Algebraic Model for the Multiple Meixner Polynomials of the First Kind
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet +1
An interpretation of the multiple Meixner polynomials of the first kind is provided through an infinite Lie algebra realized in terms of the creation and annihilation operators of…