Analytic and asymptotic properties of generalized Linnik probability densities

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dc.citation.epage578en_US
dc.citation.issueNumber6en_US
dc.citation.spage555en_US
dc.citation.volumeNumber217en_US
dc.contributor.authorErdogan, M. B.en_US
dc.contributor.authorOstrovskii, I. V.en_US
dc.date.accessioned2015-07-28T11:56:44Z
dc.date.available2015-07-28T11:56:44Z
dc.date.issued1998-01-15en_US
dc.departmentDepartment of Mathematicsen_US
dc.description.abstractThis paper studies the properties of the probability density function pα,ν,n(x) of the n-variate generalized Linnik distribution whose characteristic function φα,ν,n(t) is given by where {norm of matrix}t{norm of matrix} is the Euclidean norm of t ∈ ℝn. Integral representations of pα,ν,n(x) are obtained and used to derive the asymptotic expansions of pα,ν,n(x) when {norm of matrix}x{norm of matrix}→0 and {norm of matrix}x{norm of matrix}→∞ respectively. It is shown that under certain conditions which are arithmetic in nature, pα,ν,n(x) can be represented in terms of entire functions. © 2009 Birkhäuser Boston.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T11:56:44Z (GMT). No. of bitstreams: 1 10.1006-jmaa.1997.5734.pdf: 267338 bytes, checksum: aff74cdaf2fb1d54c32a15772f373ace (MD5)en
dc.identifier.doi10.1006/jmaa.1997.5734en_US
dc.identifier.eissn1096-0813
dc.identifier.issn0022-247X
dc.identifier.urihttp://hdl.handle.net/11693/11059
dc.language.isoEnglishen_US
dc.publisherElsevieren_US
dc.relation.isversionofhttp://dx.doi.org/10.1006/jmaa.1997.5734en_US
dc.source.titleJournal of Mathematical Analysis and Applicationsen_US
dc.titleAnalytic and asymptotic properties of generalized Linnik probability densitiesen_US
dc.typeArticleen_US

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