4 papers
Knot contact homology as a planar limit of Chern-Simons theory
Ben Webster, Meri Zaimi
We prove a conjecture relating augmentation varieties to the large limit of Chern-Simons theory. Although this does not directly establish that the augmentation polynomial of a…
Contiguity relations for finite families of orthogonal polynomials in the Askey scheme
Nicolas Crampé, Lucia Morey, Luc Vinet +1
This paper classifies the contiguity relations for finite families of polynomials within the (-)Askey scheme. The necessary and sufficient conditions for the existence of these…
Meta algebras and biorthogonal rational functions: the -Hahn case
Pierre-Antoine Bernard, Abderahmane Bouziane, Samuel Pellerin +5
A unified algebraic interpretation of both finite families of orthogonal polynomials and biorthogonal rational functions of -Hahn type is provided. The approach relies on the me…
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…