49 citations · 348 across the 45 of their papers we have counts for
4 papers · 1 filter
The Bannai-Ito algebra and some applications
Hendrik De Bie, Vincent X. Genest, Satoshi Tsujimoto +2
The Bannai-Ito algebra is presented together with some of its applications. Its relations with the Bannai-Ito polynomials, the Racah problem for the algebra, a superin…
A new recurrence formula for generic exceptional orthogonal polynomials
Hiroshi Miki, Satoshi Tsujimoto
A new recurrence relation for exceptional orthogonal polynomials is proposed, which holds for type 1, 2 and 3. As concrete examples, the recurrence relations are given for Xj-Hermi…
Spectral analysis of transition operators, Automata groups and translation in BBS
Tsuyoshi Kato, Satoshi Tsujimoto, Andrzej Zuk
We give the automata which describe time evolution rules of the box-ball system (BBS) with a carrier. It can be shown by use of tropical geometry, such systems are ultradiscrete an…
Toda-Schrödinger correspondence and orthogonal polynomials
Satoshi Tsujimoto, Alexei Zhedanov
It is known that the unrestricted Toda chain is equivalent to the Riccati equation for the Stieltjes function of the orthogonal polynomials. Under a special condition, this Riccati…