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This article is cited in 4 scientific papers (total in 4 papers)
On a Seminal Paper by Karlin and McGregor
Mirta M. Castroa, F. Alberto Grünbaumb a Departamento Matemática Aplicada II, Universidad de Sevilla, c/Virgen de África 7, 41011, Sevilla, Spain
b Department of Mathematics, University of California, Berkeley, Berkeley, CA 94720 USA
Abstract:
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.
Keywords:
birth-and-death processes; spectral measure.
Received: August 4, 2012; in final form February 25, 2013; Published online March 2, 2013
Citation:
Mirta M. Castro, F. Alberto Grünbaum, “On a Seminal Paper by Karlin and McGregor”, SIGMA, 9 (2013), 020, 11 pp.
Linking options:
https://www.mathnet.ru/eng/sigma803 https://www.mathnet.ru/eng/sigma/v9/p20
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Abstract page: | 213 | Full-text PDF : | 48 | References: | 37 |
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