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The Rahman Polynomials Are Bispectral

Vernadsky National Library of Ukraine

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Поле Співвідношення
 
Title The Rahman Polynomials Are Bispectral
 
Creator Grünbaum, F.A.
 
Description 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.
 
Date 2019-02-14T14:48:36Z
2019-02-14T14:48:36Z
2007
 
Type Article
 
Identifier The Rahman Polynomials Are Bispectral / F.A. Grünbaum // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 34 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 33C45; 22E45
http://dspace.nbuv.gov.ua/handle/123456789/147372
 
Language en
 
Relation Symmetry, Integrability and Geometry: Methods and Applications
 
Publisher Інститут математики НАН України