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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2013 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2013
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149212 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862604487270596608 |
|---|---|
| author | Castro, M.M. Grünbaum, F.A. |
| author_facet | Castro, M.M. Grünbaum, F.A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-11-28T07:49:46Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149212 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-11-28T07:49:46Z |
| publishDate | 2013 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Castro, M.M. Grünbaum, F.A. 2019-02-19T18:45:56Z 2019-02-19T18:45:56Z 2013 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 https://nasplib.isofts.kiev.ua/handle/123456789/149212 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. The authors thank the anonymous referees for their careful reading and useful remarks. The work
 of the first author is partially supported by MTM2012-36732-C03-03 (Ministerio de Econom´ıa
 y Competitividad), FQM-262, FQM-4643, FQM-7276 (Junta de Andaluc´ıa) and Feder Funds
 (European Union) and that of the second author is partially supported by the Applied Math.
 Sciences subprogram of the Of fice of Energy Research, USDOE, under Contract DE–AC03-
 76SF00098. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On a Seminal Paper by Karlin and McGregor Article published earlier |
| spellingShingle | On a Seminal Paper by Karlin and McGregor Castro, M.M. Grünbaum, F.A. |
| title | 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_short | On a Seminal Paper by Karlin and McGregor |
| title_sort | on a seminal paper by karlin and mcgregor |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149212 |
| work_keys_str_mv | AT castromm onaseminalpaperbykarlinandmcgregor AT grunbaumfa onaseminalpaperbykarlinandmcgregor |