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arXiv · 0705.0468

The Rahman Polynomials Are Bispectral

F. Alberto Grünbaum
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Abstract

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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BibTeXRIS

F. Alberto Grünbaum. 2007-05-03. The Rahman Polynomials Are Bispectral. https://doi.org/10.3842/sigma.2007.065

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