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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 6, Pages 33–39 (Mi fpm883)  
This article is cited in 3 scientific papers (total in 3 papers)

On the weakened Siegel's conjecture

V. A. Gorelov

Moscow Power Engineering Institute (Technical University)
Full-text PDF (111 kB) Citations (3)
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Abstract: In the paper, we prove that two definitions of $E$-functions present in mathematics are equivalent if $E$-functions satisfy second-order linear differential equations. For this set of functions, a weakened variant of the well-known Siegel conjecture about representability of any $E$-function by a polynomial of hypergeometric functions is also proved.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 146, Issue 2, Pages 5649–5654
DOI: https://doi.org/10.1007/s10958-007-0380-2
Bibliographic databases:
UDC: 511.36
Language: Russian
Citation: V. A. Gorelov, “On the weakened Siegel's conjecture”, Fundam. Prikl. Mat., 11:6 (2005), 33–39; J. Math. Sci., 146:2 (2007), 5649–5654
Citation in format AMSBIB
\Bibitem{Gor05}
\by V.~A.~Gorelov
\paper On the weakened Siegel's conjecture
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 6
\pages 33--39
\mathnet{http://mi.mathnet.ru/fpm883}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2204421}
\zmath{https://zbmath.org/?q=an:05358114}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 146
\issue 2
\pages 5649--5654
\crossref{https://doi.org/10.1007/s10958-007-0380-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848880707}
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    • 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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