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In a very recent paper, M. Rahman introduced a remarkable family of polynomials in two variables as the eigenfunctions of the transition matrix for a nontrivial Markov chain due to M. Hoare and M. Rahman.I indicate here that these polynomials are bispectral.This should be just one of the many remarkable properties enjoyed by these polynomials.For several challenges, including finding a general proof of some of the facts displayed here the reader should look at the last section of this paper.
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F. Alberto Grünbaum (2007) studied this question.
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