On Selberg’s beta integrals

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dc.creator Kabe, D. G.
dc.creator Gupta, A. K.
dc.date.accessioned 2015-08-11T13:14:13Z
dc.date.available 2015-08-11T13:14:13Z
dc.date.issued 2005
dc.identifier.issn 0926-6364
dc.identifier.uri http://library2.smu.ca/xmlui/handle/01/26282
dc.description Publisher's version/PDF en_CA
dc.description.abstract Askey and Richards (1989) evaluate Selberg’s first and second beta integrals using Aomoto’s (1987) formidable methodology of setting and solving a first order difference equation. Using this methodology they evaluate certain other beta and gamma type integrals. However, Selberg’s first and second beta and gamma type integrals very elegantly fit within the framework of hypercomplex multivariate normal distribution theory developed by Kabe (1984), and hence can be evaluated using the known multivariate normal distribution theory integrals. en_CA
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dc.language.iso en en_CA
dc.publisher De Gruyter en_CA
dc.relation.uri http://dx.doi.org/10.1163/1569397053300892
dc.rights Article is made available in accordance with the publisher’s policy and is subject to copyright law. Please refer to the publisher’s site. Any re-use of this article is to be in accordance with the publisher’s copyright policy. This posting is in no way granting any permission for re-use to the reader/user. The final publication is available at www.degruyter.com.
dc.subject.lcsh Integrals
dc.subject.lcsh Selberg trace formula
dc.subject.lcsh Differential equations
dc.subject.lcsh Multivariate analysis
dc.title On Selberg’s beta integrals en_CA
dc.type Text en_CA
dcterms.bibliographicCitation Random Operators & Stochastic Equations 13(1), 11-16. (2005) en_CA
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Article is made available in accordance with the publisher’s policy and is subject to copyright law. Please refer to the publisher’s site. Any re-use of this article is to be in accordance with the publisher’s copyright policy. This posting is in no way granting any permission for re-use to the reader/user. The final publication is available at www.degruyter.com.
 
Published Version: http://dx.doi.org/10.1163/1569397053300892
 
 

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