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Funktsional. Anal. i Prilozhen., 1987, Volume 21, Issue 1, Pages 23–38 (Mi faa1168)  

This article is cited in 13 scientific papers (total in 13 papers)

General hypergeometric functions on complex Grassmannians

V. A. Vassiliev, I. M. Gel'fand, A. V. Zelevinskii


Full text: PDF file (2278 kB)
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English version:
Functional Analysis and Its Applications, 1987, 21:1, 19–31

Bibliographic databases:

UDC: 517.58
Received: 10.10.1986

Citation: V. A. Vassiliev, I. M. Gel'fand, A. V. Zelevinskii, “General hypergeometric functions on complex Grassmannians”, Funktsional. Anal. i Prilozhen., 21:1 (1987), 23–38; Funct. Anal. Appl., 21:1 (1987), 19–31

Citation in format AMSBIB
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\by V.~A.~Vassiliev, I.~M.~Gel'fand, A.~V.~Zelevinskii
\paper General hypergeometric functions on complex Grassmannians
\jour Funktsional. Anal. i Prilozhen.
\yr 1987
\vol 21
\issue 1
\pages 23--38
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\transl
\jour Funct. Anal. Appl.
\yr 1987
\vol 21
\issue 1
\pages 19--31
\crossref{https://doi.org/10.1007/BF01077982}
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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. 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
    2. A. B. Givental', “Twisted Picard–Lefschetz formulas”, Funct. Anal. Appl., 22:1 (1988), 10–18  mathnet  crossref  mathscinet  zmath  isi
    3. 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
    4. 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
    5. 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
    6. I. M. Gel'fand, A. V. Zelevinskii, M. M. Kapranov, “Hypergeometric functions and toral manifolds”, Funct. Anal. Appl., 23:2 (1989), 94–106  mathnet  crossref  mathscinet  zmath  isi
    7. R. Askey, “Ramanujan and hypergeometric and basic hypergeometric series”, Russian Math. Surveys, 45:1 (1990), 37–86  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    8. 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
    9. 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
    10. 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
    11. I. M. Pak, A. E. Postnikov, “Transversal Matroids and Strata on Grassmannians”, Funct. Anal. Appl., 29:2 (1995), 140–143  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
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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