Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
On a Seminal Paper by Karlin and McGregor
Репозиторій DSpace/Manakin
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- Фізико-технічні та математичні науки
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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On a Seminal Paper by Karlin and McGregor
Інший ID:
2010 Mathematics Subject Classification: 15A24; 39A99; 47B36; 60J80
DOI: http://dx.doi.org/10.3842/SIGMA.2013.020
DOI: http://dx.doi.org/10.3842/SIGMA.2013.020
Посилання:
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.
Підтримка:
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.
Дата:
2013
Переглядів:
504
Завантажень:
225
Анотація:
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.
