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On a Seminal Paper by Karlin and McGregor

The use of spectral methods to study birth-and-death processes was pioneered by S. Karlin and J. McGregor. Their expression for the transition probabilities was made explicit by them in a few cases. Here we complete their analysis and indicate a few applications of their very powerful method.

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Bibliographic Details
Main Authors: Castro, M.M., Grünbaum, F.A.
Format: Article
Language:English
Published: Інститут математики НАН України 2013
Series:Symmetry, Integrability and Geometry: Methods and Applications
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/149212
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spelling irk-123456789-1492122019-02-20T01:29:08Z On a Seminal Paper by Karlin and McGregor Castro, M.M. Grünbaum, F.A. The use of spectral methods to study birth-and-death processes was pioneered by S. Karlin and J. McGregor. Their expression for the transition probabilities was made explicit by them in a few cases. Here we complete their analysis and indicate a few applications of their very powerful method. 2013 Article On a Seminal Paper by Karlin and McGregor / M.M. Castro, F.A. Grünbaum // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 30 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 15A24; 39A99; 47B36; 60J80 DOI: http://dx.doi.org/10.3842/SIGMA.2013.020 http://dspace.nbuv.gov.ua/handle/123456789/149212 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description The use of spectral methods to study birth-and-death processes was pioneered by S. Karlin and J. McGregor. Their expression for the transition probabilities was made explicit by them in a few cases. Here we complete their analysis and indicate a few applications of their very powerful method.
format Article
author Castro, M.M.
Grünbaum, F.A.
spellingShingle Castro, M.M.
Grünbaum, F.A.
On a Seminal Paper by Karlin and McGregor
Symmetry, Integrability and Geometry: Methods and Applications
author_facet Castro, M.M.
Grünbaum, F.A.
author_sort Castro, M.M.
title On a Seminal Paper by Karlin and McGregor
title_short On a Seminal Paper by Karlin and McGregor
title_full On a Seminal Paper by Karlin and McGregor
title_fullStr On a Seminal Paper by Karlin and McGregor
title_full_unstemmed On a Seminal Paper by Karlin and McGregor
title_sort on a seminal paper by karlin and mcgregor
publisher Інститут математики НАН України
publishDate 2013
url http://dspace.nbuv.gov.ua/handle/123456789/149212
citation_txt On a Seminal Paper by Karlin and McGregor / M.M. Castro, F.A. Grünbaum // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 30 назв. — англ.
series Symmetry, Integrability and Geometry: Methods and Applications
work_keys_str_mv AT castromm onaseminalpaperbykarlinandmcgregor
AT grunbaumfa onaseminalpaperbykarlinandmcgregor
first_indexed 2023-05-20T17:32:14Z
last_indexed 2023-05-20T17:32:14Z
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