49 citations · 348 across the 45 of their papers we have counts for
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Exceptional Laurent biorthogonal polynomials through spectral transformations of generalized eigenvalue problems
Yu Luo, Satoshi Tsujimoto
A formulation is given for the spectral transformation of the generalized eigenvalue problem through the decomposition of the second-order differential operators. This allows us to…
The single-indexed exceptional Krawtchouk polynomials
Hiroshi Miki, Satoshi Tsujimoto, Luc Vinet
The Darboux transformations of Krawtchouk polynomials are investigated and all possible exceptional Krawtchouk polynomials obtainable from a single-step Darboux transformation are…
An algebraic description of the bispectrality of the biorthogonal rational functions of Hahn type
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
The biorthogonal rational functions of the type on the uniform grid provide the simplest example of rational functions with bispectrality properties that are similar to t…
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…
Symmetric abstract hypergeometric polynomials
Satoshi Tsujimoto, Luc Vinet, Guo-Fu Yu +1
Consider an abstract operator which acts on monomials according to for and some coefficients. Let be eigenpolynomials…
Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials
Vincent X. Genest, Satoshi Tsujimoto, Luc Vinet +1
Persymmetric Jacobi matrices are invariant under reflection with respect to the anti-diagonal. The associated orthogonal polynomials have distinctive properties that are discussed.…