Non-symmetric Linnik distributions

dc.citation.epage	516	en_US
dc.citation.issueNumber	5	en_US
dc.citation.spage	511	en_US
dc.citation.volumeNumber	325	en_US
dc.contributor.author	Erdoğan, M. B.	en_US
dc.contributor.author	Ostrovskii, I. V.	en_US
dc.date.accessioned	2016-02-08T10:47:36Z
dc.date.available	2016-02-08T10:47:36Z
dc.date.issued	1997	en_US
dc.department	Department of Mathematics	en_US
dc.description.abstract	The aim of this Note is to study the probability density with characteristic function ρα,θ,v(t) = 1/(1 + e-iθsgnt\|t\|α)v, where 0 < α < 2, \|θ\| ≤ min(πα/2, π - πα/2), and v > 0. This density, first introduced by Linnik for θ = 0, v = 1, received several applications later. It does not have any explicit representation. We consider here its integral and series representations and its analytical properties.	en_US
dc.identifier.doi	10.1016/S0764-4442(97)88898-2	en_US
dc.identifier.eissn	1778-3569
dc.identifier.issn	0764-4442
dc.identifier.uri	http://hdl.handle.net/11693/25604
dc.language.iso	English	en_US
dc.publisher	Elsevier Masson	en_US
dc.relation.isversionof	https://doi.org/10.1016/S0764-4442(97)88898-2	en_US
dc.source.title	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics	en_US
dc.title	Non-symmetric Linnik distributions	en_US
dc.title.alternative	Les distributions de Linnik non - symmétriques	en_US
dc.type	Article	en_US

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