49 citations · 348 across the 45 of their papers we have counts for
47 papers
Algebraic interpretation of the two-variable Jacobi polynomials on the triangle: the pentagonal way
Nicolas Crampé, Quentin Labriet, Lucia Morey +3
The rank two Jacobi algebra is used to provide an interpretation of the two-variable Jacobi polynomials on the triangle, as overlaps betwee…
Meta algebras and biorthogonal rational functions: the -Hahn case
Pierre-Antoine Bernard, Abderahmane Bouziane, Samuel Pellerin +5
A unified algebraic interpretation of both finite families of orthogonal polynomials and biorthogonal rational functions of -Hahn type is provided. The approach relies on the me…
Meta Algebras and Biorthogonal Rational Functions: The Hahn Case
Satoshi Tsujimoto, Luc Vinet, Alexei Zhedanov
The finite families of biorthogonal rational functions and orthogonal polynomials of Hahn type are interpreted algebraically in a unified way by considering the three-generated met…
An isospectral transformation between Hessenberg matrix and Hessenberg-bidiagonal matrix pencil without using subtraction
Katsuki Kobayashi, Kazuki Maeda, Satoshi Tsujimoto
We introduce an eigenvalue-preserving transformation algorithm from the generalized eigenvalue problem by matrix pencil of the upper and the lower bidiagonal matrices into a standa…
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…
Quantum walks on simplexes and multiple perfect state transfer
Hiroshi Miki, Satoshi Tsujimoto, Da Zhao
In this paper, we study quantum walks on the extension of association schemes. Various state transfers can be achieved on these graphs, such as multiple state transfer among extrem…