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Mathematics of the USSR-Sbornik, 1992, Volume 72, Issue 1, Pages 267–286
DOI: https://doi.org/10.1070/SM1992v072n01ABEH001413 (Mi sm1295) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On arithmetic properties of the values of hypergeometric functions

P. L. Ivankov
English version PDF (781 kB) Citations (14)
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DOI: https://doi.org/10.1070/SM1992v072n01ABEH001413
Abstract: The author proposes an effective method of constructing a linear approximating form for a hypergeometric function of general type and its derivatives, which has a zero of the maximal possible order at $z=0$. This construction is applied to the study of arithmetic properties of values of these functions at points of an imaginary quadratic field.
Received: 18.12.1987 and 22.10.1990
Russian version:
Matematicheskii Sbornik, 1991, Volume 182, Number 2, Pages 283–302
Bibliographic databases:
UDC: 511.361
MSC: Primary 11J91; Secondary 11J13
Language: English
Original paper language: Russian
Citation: P. L. Ivankov, “On arithmetic properties of the values of hypergeometric functions”, Mat. Sb., 182:2 (1991), 283–302; Math. USSR-Sb., 72:1 (1992), 267–286
Citation in format AMSBIB
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\by P.~L.~Ivankov
\paper On arithmetic properties of the values of hypergeometric functions
\jour Mat. Sb.
\yr 1991
\vol 182
\issue 2
\pages 283--302
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1103275}
\zmath{https://zbmath.org/?q=an:0776.11039}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1992SbMat..72..267I}
\transl
\jour Math. USSR-Sb.
\yr 1992
\vol 72
\issue 1
\pages 267--286
\crossref{https://doi.org/10.1070/SM1992v072n01ABEH001413}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1992JF72300014}
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  • https://doi.org/10.1070/SM1992v072n01ABEH001413
  • https://www.mathnet.ru/eng/sm/v182/i2/p283
    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1991 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:529
    Russian version PDF:124
    English version PDF:2
    References:21
    First page:1
     
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