Shell Polynomials and Dual Birth-Death Processes
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Shell Polynomials and Dual Birth-Death Processes
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| Creator |
Erik A. van Doorn
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| Description |
This paper aims to clarify certain aspects of the relations between birth-death processes, measures solving a Stieltjes moment problem, and sets of parameters defining polynomial sequences that are orthogonal with respect to such a measure. Besides giving an overview of the basic features of these relations, revealed to a large extent by Karlin and McGregor, we investigate a duality concept for birth-death processes introduced by Karlin and McGregor and its interpretation in the context of shell polynomials and the corresponding orthogonal polynomials. This interpretation leads to increased insight in duality, while it suggests a modification of the concept of similarity for birth-death processes.
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| Date |
2019-02-15T19:05:54Z
2019-02-15T19:05:54Z 2016 |
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| Type |
Article
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| Identifier |
Shell Polynomials and Dual Birth-Death Processes / Erik A. van Doorn // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 24 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 42C05; 60J80; 44A60 DOI:10.3842/SIGMA.2016.049 http://dspace.nbuv.gov.ua/handle/123456789/147745 |
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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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