Erdoğan, M. B.Ostrovskii, I. V.2016-02-082016-02-0819970764-4442http://hdl.handle.net/11693/25604The 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.EnglishArticle10.1016/S0764-4442(97)88898-21778-3569