3 papers
math-ph2025
Algebras behind the bispectrality of the Wilson rational functions and their limits
Nicolas Crampe, Satoshi Tsujimoto, Luc Vinet +1
The properties of the Wilson rational functions with three different normalizations are described. For one normalization, it satisfies an recurrence relation…
math-ph2025
The rank two Jacobi algebra
Nicolas Crampe, Satoshi Tsujimoto, Luc Vinet +1
The quadratic rank two Jacobi algebra is identified from the relations obeyed by the bispectral operators of the two variable Jacobi polynomials orthogonal on the triangle. It is s…
math.RA2025
Change of basis for the tridiagonal pairs of type II
Nicolas Crampe, Julien Gaboriaud, Satoshi Tsujimoto
We study tridiagonal pairs of type II. These involve two linear transformations and . We define two bases. In the first one, acts as a diagonal matrix while $A^\st…