L. Vinet

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19912025

most citedA "missing" family of classical orthogonal polynomials

1.6k citations · 4.2k across the 180 of their papers we have counts for

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Showing 2016 · math.CAShow all

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math.CA2016

Persymmetric Jacobi matrices, isospectral deformations and orthogonal polynomials

Vincent X. Genest, Satoshi Tsujimoto, Luc Vinet +1

Persymmetric Jacobi matrices are invariant under reflection with respect to the anti-diagonal. The associated orthogonal polynomials have distinctive properties that are discussed.…

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 ( $L P_{n} (x) = λ_{n} P_{n} (x)$ ) of some abstract operator $L…