Analytic and asymptotic properties of non-symmetric Linnik's probability densities
type: Item
instance of: scholarly article
title: Analytic and asymptotic properties of non-symmetric Linnik's probability densities
zbMATH Open document ID: 0953.62015
DOI: 10.1007/BF01257189
published in: The Journal of Fourier Analysis and Applications
publication date: 2000-09-14T00:00:00Z
full work available at URL: https://eudml.org/doc/59621
review text: The function \[ \varphi_\alpha^\theta(t)= (1+|t|^\alpha \exp(-i\theta \operatorname {sgn} t))^{-1}, \quad \alpha\in (0,2), \;\theta\in (-\pi,\pi], \] is a characteristic function of a probability distribution iff \(|\theta|\leq \min (\pi\alpha/2, \pi- \pi\alpha/2)\). The author carried out a detailed investigation of analytic and asymptotic properties of the density of the distribution for the non-symmetric case \(\theta\neq 0\).
reviewed by: Romanas Yanushkevichius
Mathematics Subject Classification ID: 62E10
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 62E15
Mathematics Subject Classification ID: 62E20
zbMATH DE Number: 1441217
author: Mehmet Burak Erdoğan
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1441217