20 citations · 29 across the 3 of their papers we have counts for
3 papers
math.CA2022
Para-Bannai-Ito Polynomials
Jonathan Pelletier, Luc Vinet, Alexei Zhedanov
New bispectral polynomials orthogonal on a Bannai-Ito bi-lattice (uniform quadri-lattice) are obtained from an unconventional truncation of the untruncated Bannai-Ito and complemen…
math.CA2016★ 9 cited
Hypergeometric Orthogonal Polynomials with respect to Newtonian Bases
Luc Vinet, Alexei Zhedanov
We introduce the notion of "hypergeometric" polynomials with respect to Newtonian bases. These polynomials are eigenfunctions () of some abstract operator $L…
math-ph2015★ 20 cited
Embeddings of the Racah Algebra into the Bannai-Ito Algebra
Vincent X. Genest, Luc Vinet, Alexei Zhedanov
Embeddings of the Racah algebra into the Bannai-Ito algebra are proposed in two realizations. First, quadratic combinations of the Bannai-Ito algebra generators in their standard r…