3 papers
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…
math-ph2024
-deformed Griffiths polynomials of Racah type
Nicolas Crampe, Luc Frappat, Julien Gaboriaud +1
New bivariate Griffiths polynomials of -Racah type are introduced and characterized. They generalize the polynomials orthogonal on the multinomial distribution introduced by R.…
math-ph2024
Griffiths polynomials of Racah type
Nicolas Crampe, Luc Frappat, Julien Gaboriaud +3
Bivariate Griffiths polynomials of Racah type are constructed from univariate Racah polynomials. The bispectral properties of the former are deduced from simple properties of the l…