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.

Збережено в:
Бібліографічні деталі
Дата:2013
Автори: Castro, M.M., Grünbaum, F.A.
Формат: Стаття
Мова:English
Опубліковано: Інститут математики НАН України 2013
Назва видання:Symmetry, Integrability and Geometry: Methods and Applications
Онлайн доступ:http://dspace.nbuv.gov.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.

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Резюме: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.