标题： 拉赫曼多项式是双谱的 显示英文标题

标题： The Rahman Polynomials Are Bispectral

摘要： 在一篇非常近期的论文中，M. Rahman 引入了一类在两个变量中的显著多项式，作为 M. Hoare 和 M. Rahman 所提出的非平凡马尔可夫链的转移矩阵的特征函数。 我在这里指出，这些多项式是双谱的。 这应该是这些多项式所享有的许多显著特性之一。 对于若干挑战，包括找到此处展示的一些事实的一般性证明，读者应查阅本文的最后一部分。 显示英文摘要

摘要： 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.