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Teoriya Veroyatnostei i ee Primeneniya, 1994, Volume 39, Issue 2, Pages 429–437 (Mi tvp3812)  
This article is cited in 28 scientific papers (total in 28 papers)

Short Communications

On representation of densities of stable laws by special functions

V. M. Zolotarev

Steklov Mathematical Institute, Russian Academy of Sciences
Full-text PDF (533 kB) Citations (28)
Abstract: A representation of the density of a one-dimensional strongly stable law via Meijer's $G$-functions is obtained. The paper also considers the expressions of integral transforms with Euler kernels of these densities in terms of $G$-functions which make it possible to obtain representations of distribution functions of strongly stable laws with rational parameters. Some examples are given of representations of densities of multivariate spherically symmetric stable laws in terms of Meijer functions.
Keywords: one-dimensional strongly stable laws, multivariate spherically symmetric stable distributions, higher transcendental functions, generalized hypergeometrical series, Meijer's $G$-functions.
Received: 21.11.1993
English version:
Theory of Probability and its Applications, 1994, Volume 39, Issue 2, Pages 354–362
DOI: https://doi.org/10.1137/1139025
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: V. M. Zolotarev, “On representation of densities of stable laws by special functions”, Teor. Veroyatnost. i Primenen., 39:2 (1994), 429–437; Theory Probab. Appl., 39:2 (1994), 354–362
Citation in format AMSBIB
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\by V.~M.~Zolotarev
\paper On representation of densities of stable laws by special functions
\jour Teor. Veroyatnost. i Primenen.
\yr 1994
\vol 39
\issue 2
\pages 429--437
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\zmath{https://zbmath.org/?q=an:0872.60012}
\transl
\jour Theory Probab. Appl.
\yr 1994
\vol 39
\issue 2
\pages 354--362
\crossref{https://doi.org/10.1137/1139025}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995RW81500014}
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    • This publication is cited in the following 28 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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