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Symmetry, Integrability and Geometry: Methods and Applications, 2013, Volume 9, 020, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2013.020 (Mi sigma803) 		 
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
Full-text PDF (1007 kB) Citations (4)
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DOI: https://doi.org/10.3842/SIGMA.2013.020
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
Bibliographic databases:
Document Type: Article
MSC: 15A24; 39A99; 47B36; 60J80
Language: English
Citation: Mirta M. Castro, F. Alberto Grünbaum, “On a Seminal Paper by Karlin and McGregor”, SIGMA, 9 (2013), 020, 11 pp.
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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