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Teoriya Veroyatnostei i ee Primeneniya, 1968, Volume 13, Issue 3, Pages 525–530 (Mi tvp878)  
This article is cited in 4 scientific papers (total in 4 papers)

Short Communications

Inequalities for Bessel functions of imaginary argument

A. V. Prokhorov

M. V. Lomonosov Moscow State University
Full-text PDF (350 kB) Citations (4)
Abstract: Using probabilistic arguments (the method of conjugate distributions and a local limit theorem), we prove two-sided inequality (9) for modified Bessel functions $I_n(z)$ with integer $n\ge0$. The inequalities obtained are very useful, for example, in estimation of probabilities of large deviations in spaces of high dimensionality.
Received: 23.04.1968
English version:
Theory of Probability and its Applications, 1968, Volume 13, Issue 3, Pages 496–501
DOI: https://doi.org/10.1137/1113063
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. V. Prokhorov, “Inequalities for Bessel functions of imaginary argument”, Teor. Veroyatnost. i Primenen., 13:3 (1968), 525–530; Theory Probab. Appl., 13:3 (1968), 496–501
Citation in format AMSBIB
\Bibitem{Pro68}
\by A.~V.~Prokhorov
\paper Inequalities for Bessel functions of imaginary argument
\jour Teor. Veroyatnost. i Primenen.
\yr 1968
\vol 13
\issue 3
\pages 525--530
\mathnet{http://mi.mathnet.ru/tvp878}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=239146}
\zmath{https://zbmath.org/?q=an:0177.22102}
\transl
\jour Theory Probab. Appl.
\yr 1968
\vol 13
\issue 3
\pages 496--501
\crossref{https://doi.org/10.1137/1113063}
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теория вероятностей и ее применения Theory of Probability and its Applications
     
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