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Chebyshevskii Sbornik, 2012, Volume 13, Issue 2, Pages 64–70 (Mi cheb36)  
This article is cited in 4 scientific papers (total in 4 papers)

О значениях продифференцированных по параметру гипергеометрических функций

P. L. Ivankov

N. E. Bauman Moscow State Technical University
Full-text PDF (388 kB) Citations (4)
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Abstract: In this paper we consider linear independence of the values of hypergeometric functions with irrational parameter; some of these functions are differentiated with respect to parameter. The corresponding theorem is proved by means of the effective construction of Padé approximation for such functions.
Keywords: hypergeometric functions, differentiation with respect to parameter, linear independence of the values, irrational parameters.
Received: 24.04.2012
Document Type: Article
UDC: 511.361
Language: Russian
Citation: P. L. Ivankov, “О значениях продифференцированных по параметру гипергеометрических функций”, Chebyshevskii Sb., 13:2 (2012), 64–70
Citation in format AMSBIB
\Bibitem{Iva12}
\by P.~L.~Ivankov
\paper О значениях продифференцированных по параметру гипергеометрических функций
\jour Chebyshevskii Sb.
\yr 2012
\vol 13
\issue 2
\pages 64--70
\mathnet{http://mi.mathnet.ru/cheb36}
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  • https://www.mathnet.ru/eng/cheb/v13/i2/p64
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Full-text PDF :88
    References:32
    First page:1
     
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