A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2011
• Main Authors: Grünbaum, F.A., Rahman, M.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/148084
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: A System of Multivariable Krawtchouk Polynomials and a Probabilistic Application / F.A. Grünbaum, M. Rahman // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 16 назв. — англ.

The one variable Krawtchouk polynomials, a special case of the ₂F₁ function did appear in the spectral representation of the transition kernel for a Markov chain studied a long time ago by M. Hoare and M. Rahman. A multivariable extension of this Markov chain was considered in a later paper by these...