A Probablistic Origin for a New Class of Bivariate Polynomials
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Probablistic Origin for a New Class of Bivariate Polynomials
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| Creator |
Hoare, M.R.
Rahman, M. |
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| Description |
We present here a probabilistic approach to the generation of new polynomials in two discrete variables. This extends our earlier work on the 'classical' orthogonal polynomials in a previously unexplored direction, resulting in the discovery of an exactly soluble eigenvalue problem corresponding to a bivariate Markov chain with a transition kernel formed by a convolution of simple binomial and trinomial distributions. The solution of the relevant eigenfunction problem, giving the spectral resolution of the kernel, leads to what we believe to be a new class of orthogonal polynomials in two discrete variables. Possibilities for the extension of this approach are discussed.
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| Date |
2019-02-16T16:24:26Z
2019-02-16T16:24:26Z 2008 |
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| Type |
Article
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| Identifier |
A Probablistic Origin for a New Class of Bivariate Polynomials / M.R. Hoare, M. Rahman // Symmetry, Integrability and Geometry: Methods and Applications. — 2008. — Т. 4. — Бібліогр.: 24 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 33C45; 60J05 http://dspace.nbuv.gov.ua/handle/123456789/148000 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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