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math.CA2018★ 4 cited
Bivariate Bannai-Ito polynomials
Jean-Michel Lemay, Luc Vinet
A two-variable extension of the Bannai-Ito polynomials is presented. They are obtained via limits of the bivariate -Racah and Askey-Wilson orthogonal polynomials introd…
math.CA2018
The q-Heun operator of big q-Jacobi type and the q-Heun algebra
Pascal Baseilhac, Luc Vinet, Alexei Zhedanov
The q-Heun operator of the big q-Jacobi type on the exponential grid is defined. This operator is the most general second order q-difference operator that maps polynomials of degre…
math.CA2018
The Heun operator of Hahn type
Luc Vinet, Alexei Zhedanov
The Heun-Hahn operator on the uniform grid is defined. This operator is shown to map polynomials of degree to polynomials of degree , to be tridiagonal in bases made out o…