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Fundamentalnaya i Prikladnaya Matematika, 2005, Volume 11, Issue 6, Pages 65–72 (Mi fpm884)  
This article is cited in 5 scientific papers (total in 5 papers)

On values of hypergeometric functions with different irrational parameters

P. L. Ivankov

N. E. Bauman Moscow State Technical University
Full-text PDF (113 kB) Citations (5)
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Abstract: In this paper, we study the arithmetic nature of the values of generalized hypergeometric functions with different irrational parameters. Linear independence of such values is proved by means of an effective construction of Pade approximation; corresponding quantitative results are obtained.
English version:
Journal of Mathematical Sciences (New York), 2007, Volume 146, Issue 2, Pages 5674–5679
DOI: https://doi.org/10.1007/s10958-007-0383-z
Bibliographic databases:
UDC: 511.361
Language: Russian
Citation: P. L. Ivankov, “On values of hypergeometric functions with different irrational parameters”, Fundam. Prikl. Mat., 11:6 (2005), 65–72; J. Math. Sci., 146:2 (2007), 5674–5679
Citation in format AMSBIB
\Bibitem{Iva05}
\by P.~L.~Ivankov
\paper On values of hypergeometric functions with different irrational parameters
\jour Fundam. Prikl. Mat.
\yr 2005
\vol 11
\issue 6
\pages 65--72
\mathnet{http://mi.mathnet.ru/fpm884}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2204424}
\zmath{https://zbmath.org/?q=an:05358117}
\transl
\jour J. Math. Sci.
\yr 2007
\vol 146
\issue 2
\pages 5674--5679
\crossref{https://doi.org/10.1007/s10958-007-0383-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848900742}
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  • https://www.mathnet.ru/eng/fpm/v11/i6/p65
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Фундаментальная и прикладная математика
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    Full-text PDF :92
    References:39
    First page:1
     
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