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Zapiski Nauchnykh Seminarov POMI, 2011, Volume 393, Pages 111–124 (Mi znsl4618)  
This article is cited in 3 scientific papers (total in 3 papers)

Euler integral symmetry and deformed hypergeometric equation

A. Ya. Kazakov

Saint-Petersburg University of Aerospace Instrumentation, St. Petersburg, Russia
Full-text PDF (245 kB) Citations (3)
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Abstract: Euler integral symmetry for the hypergeometric system of linear differential equations is described. Reduction of the hypergeometric system leads to integral symmetry for the deformed hypergeometric equation. Analytic continuation of the corresponding contour integral is used to obtain the corresponding symmetry of the connection matrix. These results give the possibility to calculate the connection matrix of the deformed hypergeometric equation.
Key words and phrases: monodromy, deformed hypergeometric equation, Euler integral transform.
Received: 22.09.2011
English version:
Journal of Mathematical Sciences (New York), 2012, Volume 185, Issue 4, Pages 573–580
DOI: https://doi.org/10.1007/s10958-012-0940-y
Bibliographic databases:
Document Type: Article
UDC: 550.24
Language: Russian
Citation: A. Ya. Kazakov, “Euler integral symmetry and deformed hypergeometric equation”, Mathematical problems in the theory of wave propagation. Part 41, Zap. Nauchn. Sem. POMI, 393, POMI, St. Petersburg, 2011, 111–124; J. Math. Sci. (N. Y.), 185:4 (2012), 573–580
Citation in format AMSBIB
\Bibitem{Kaz11}
\by A.~Ya.~Kazakov
\paper Euler integral symmetry and deformed hypergeometric equation
\inbook Mathematical problems in the theory of wave propagation. Part~41
\serial Zap. Nauchn. Sem. POMI
\yr 2011
\vol 393
\pages 111--124
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl4618}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2870207}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2012
\vol 185
\issue 4
\pages 573--580
\crossref{https://doi.org/10.1007/s10958-012-0940-y}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84866535976}
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  • https://www.mathnet.ru/eng/znsl/v393/p111
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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