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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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Інститут математики НАН України
2013
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/149212 |
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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 |
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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 |
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2023-05-20T17:32:14Z |
_version_ |
1796153514504749056 |