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Chelyabinskiy Fiziko-Matematicheskiy Zhurnal, 2016, Volume 1, Issue 4, Pages 63–93 (Mi chfmj37)  
This article is cited in 4 scientific papers (total in 4 papers)

Mathematics

A survey of Buschman — Erdelyi transmutations

S. M. Sitnik

Voronezh Institute of Russian Ministry of Internal Affairs, Voronezh, Russia
Full-text PDF (759 kB) Citations (4)
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Abstract: This is a survey paper. In introduction some historical and priority information is given. The author's convenient classification of Buschman — Erdelyi transmutations is proposed. Based on this classification results on Buschman — Erdelyi transmutations of the first, second and third kinds are surveyed, including unitarian Sonine — Katrakhov and Poisson — Katrakhov transmutations. In the last section applications of Buschman — Erdelyi transmutations are considered.
Keywords: transmutation, integral transform, Buschman — Erdelyi transmutation, Erdelyi — Kober operator, Sonine — Poisson operator, fractional integral.
Received: 27.10.2016
Revised: 08.11.2016
Bibliographic databases:
Document Type: Article
UDC: 517.444
Language: Russian
Citation: S. M. Sitnik, “A survey of Buschman — Erdelyi transmutations”, Chelyab. Fiz.-Mat. Zh., 1:4 (2016), 63–93
Citation in format AMSBIB
\Bibitem{Sit16}
\by S.~M.~Sitnik
\paper A survey of Buschman~--- Erdelyi transmutations
\jour Chelyab. Fiz.-Mat. Zh.
\yr 2016
\vol 1
\issue 4
\pages 63--93
\mathnet{http://mi.mathnet.ru/chfmj37}
\elib{https://elibrary.ru/item.asp?id=27495053}
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  • https://www.mathnet.ru/eng/chfmj/v1/i4/p63
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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