S. Tsujimoto

activity

20082025

most citedExceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum Transformations

49 citations · 348 across the 45 of their papers we have counts for

collaborators

Showing 2017 · math.CAShow all

2 papers · 2 filters

math.CA2017★ 3 cited

Exceptional Bannai-Ito polynomials

Yu Luo, Satoshi Tsujimoto

We construct a non-trivial type of 1-step exceptional Bannai-Ito polynomials which satisfy discrete orthogonality by using a generalized Darboux transformation. In this generalizat…

math.CA2017

Symmetric abstract hypergeometric polynomials

Satoshi Tsujimoto, Luc Vinet, Guo-Fu Yu +1

Consider an abstract operator $L$ which acts on monomials $x^{n}$ according to $L x^{n} = λ_{n} x^{n} + ν_{n} x^{n - 2}$ for $λ_{n}$ and $ν_{n}$ some coefficients. Let $P_{n} (x)$ be eigenpolynomials…