On a Seminal Paper by Karlin and McGregor

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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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dc.contributor.author	Castro, M.M.
dc.contributor.author	Grünbaum, F.A.
dc.date.accessioned	2019-02-19T18:45:56Z
dc.date.available	2019-02-19T18:45:56Z
dc.date.issued	2013
dc.identifier.citation	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.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 15A24; 39A99; 47B36; 60J80
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.020
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149212
dc.description.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.	uk_UA
dc.description.sponsorship	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.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	On a Seminal Paper by Karlin and McGregor	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA