Analytic and asymptotic properties of Linnik's probability densities
| dc.citation.epage | 990 | en_US |
| dc.citation.spage | 985 | en_US |
| dc.citation.volumeNumber | 319 | en_US |
| dc.contributor.author | Hayfavi, A. | en_US |
| dc.contributor.author | Kotz, S. | en_US |
| dc.contributor.author | Ostrovskii, I. V. | en_US |
| dc.date.accessioned | 2019-02-15T10:51:43Z | |
| dc.date.available | 2019-02-15T10:51:43Z | |
| dc.date.issued | 1994 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | The analytic and asymptotic properties of the probability density Jin (:r:) introduced in 1953 by Ju. V. Linnik and defined by the characteristic function 1/(1 + It I"), 0 < n < 2, are studied. Expansions of Jin (:r:) into convergent and asymptotic series in terms of log I :r: I , I x I k n, I ,r I k (k = 0, 1, 2, ... ) are obtained. It turns out that the analytic structure of Pc, (:r:) depends substantially on the arithmetical nature of the parameter n. | en_US |
| dc.identifier.issn | 1631-073X | |
| dc.identifier.uri | http://hdl.handle.net/11693/49570 | |
| dc.language.iso | English | en_US |
| dc.language.iso | French | |
| dc.publisher | Elsevier | en_US |
| dc.source.title | Comptes Rendus de l'Académie des Sciences - Series I - Mathematics | en_US |
| dc.title | Analytic and asymptotic properties of Linnik's probability densities | en_US |
| dc.title.alternative | Les proprietes analytiques et asymptotiques des densites de probabilites de Linnik | en_US |
| dc.type | Article | en_US |
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