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Funktsional. Anal. i Prilozhen., 1986, Volume 20, Issue 3, Pages 17–34 (Mi faa1295)  

This article is cited in 14 scientific papers (total in 14 papers)

Algebraic and combinatorial aspects of the general theory of hypergeometric functions

I. M. Gel'fand, A. V. Zelevinskii


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English version:
Functional Analysis and Its Applications, 1986, 20:3, 183–197

Bibliographic databases:

UDC: 517.58
Received: 24.03.1986

Citation: I. M. Gel'fand, A. V. Zelevinskii, “Algebraic and combinatorial aspects of the general theory of hypergeometric functions”, Funktsional. Anal. i Prilozhen., 20:3 (1986), 17–34; Funct. Anal. Appl., 20:3 (1986), 183–197

Citation in format AMSBIB
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\by I.~M.~Gel'fand, A.~V.~Zelevinskii
\paper Algebraic and combinatorial aspects of the general theory of hypergeometric functions
\jour Funktsional. Anal. i Prilozhen.
\yr 1986
\vol 20
\issue 3
\pages 17--34
\mathnet{http://mi.mathnet.ru/faa1295}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=868558}
\zmath{https://zbmath.org/?q=an:0619.33004}
\transl
\jour Funct. Anal. Appl.
\yr 1986
\vol 20
\issue 3
\pages 183--197
\crossref{https://doi.org/10.1007/BF01078470}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1986G071500002}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. I. M. Gel'fand, V. V. Serganova, “Combinatorial geometries and torus strata on homogeneous compact manifolds”, Russian Math. Surveys, 42:2 (1987), 133–168  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    2. A. N. Varchenko, “Combinatorics and topology of the disposition of affine hyperplanes in real space”, Funct. Anal. Appl., 21:1 (1988), 9–19  mathnet  crossref  mathscinet  zmath  isi
    3. V. A. Vassiliev, I. M. Gel'fand, A. V. Zelevinskii, “General hypergeometric functions on complex Grassmannians”, Funct. Anal. Appl., 21:1 (1987), 19–31  mathnet  crossref  mathscinet  zmath  isi
    4. A. N. Varchenko, I. M. Gel'fand, “Heaviside functions of a configuration of hyperplanes”, Funct. Anal. Appl., 21:4 (1987), 255–270  mathnet  crossref  mathscinet  zmath  isi
    5. A. N. Varchenko, “The Euler beta-function, the Vandermonde determinant, Legendre's equation, and critical values of linear functions on a configuration of hyperplanes. I”, Math. USSR-Izv., 35:3 (1990), 543–571  mathnet  crossref  mathscinet  zmath
    6. I. M. Gel'fand, M. I. Graev, “Hypergeometric functions associated with the Grassmannian $G_{3,6}$”, Math. USSR-Sb., 66:1 (1990), 1–40  mathnet  crossref  mathscinet  zmath  isi
    7. S. K. Suslov, “The theory of difference analogues of special functions of hypergeometric type”, Russian Math. Surveys, 44:2 (1989), 227–278  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    8. R. Askey, “Ramanujan and hypergeometric and basic hypergeometric series”, Russian Math. Surveys, 45:1 (1990), 37–86  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    9. A. N. Varchenko, “The Euler beta-function, the Vandermonde determinant, Legendre's equation, and critical values of linear functions on a configuration of hyperplanes. II”, Math. USSR-Izv., 36:1 (1991), 155–167  mathnet  crossref  mathscinet  zmath  adsnasa
    10. I. M. Gel'fand, M. I. Graev, V. S. Retakh, “General hypergeometric systems of equations and series of hypergeometric type”, Russian Math. Surveys, 47:4 (1992), 1–88  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    11. D. V. Yur'ev, “Quantum projective field theory: Quantum-field analogs of the Euler–Arnol'd equations in projective $G$ multiplets”, Theoret. and Math. Phys., 98:2 (1994), 147–161  mathnet  crossref  mathscinet  zmath  isi
    12. I. M. Gel'fand, M. I. Graev, “$GG$-functions and their relation to general hypergeometric functions”, Russian Math. Surveys, 52:4 (1997), 639–684  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    13. V. A. Vassiliev, “Topology of plane arrangements and their complements”, Russian Math. Surveys, 56:2 (2001), 365–401  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    14. Y. Kodama, B. G. Konopelchenko, “Confluence of hypergeometric functions and integrable hydrodynamic-type systems”, Theoret. and Math. Phys., 188:3 (2016), 1334–1357  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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