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Russian Mathematical Surveys, 2004, Volume 59, Issue 5, Pages 831–905
DOI: https://doi.org/10.1070/RM2004v059n05ABEH000771
(Mi rm771)
 

This article is cited in 20 scientific papers (total in 21 papers)

Hypergeometric functions over an arbitrary field

I. M. Gel'fand, M. I. Graev, V. S. Retakh

Scientific Research Institute for System Studies of RAS
References:
Abstract: This paper is devoted to the definition and investigation of hypergeometric functions over an arbitrary continuous locally compact field or a finite field, based on the author's earlier definition of generalized hypergeometric function over the field $\mathbb R$.
Received: 12.07.2004
Russian version:
Uspekhi Matematicheskikh Nauk, 2004, Volume 59, Issue 5(359), Pages 29–100
DOI: https://doi.org/10.4213/rm771
Bibliographic databases:
Document Type: Article
UDC: 517.58
MSC: Primary 33C70; Secondary 33C80, 33C20, 12J25, 12E20, 46S10, 33C05, 33D70
Language: English
Original paper language: Russian
Citation: I. M. Gel'fand, M. I. Graev, V. S. Retakh, “Hypergeometric functions over an arbitrary field”, Uspekhi Mat. Nauk, 59:5(359) (2004), 29–100; Russian Math. Surveys, 59:5 (2004), 831–905
Citation in format AMSBIB
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\paper Hypergeometric functions over an arbitrary field
\jour Uspekhi Mat. Nauk
\yr 2004
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Linking options:
  • https://www.mathnet.ru/eng/rm771
  • https://doi.org/10.1070/RM2004v059n05ABEH000771
  • https://www.mathnet.ru/eng/rm/v59/i5/p29
  • This publication is cited in the following 21 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Успехи математических наук Russian Mathematical Surveys
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    Abstract page:1913
    Russian version PDF:819
    English version PDF:36
    References:101
    First page:6
     
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