Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Mathematics of the USSR-Izvestiya, 1990, Volume 35, Issue 3, Pages 543–571
DOI: https://doi.org/10.1070/IM1990v035n03ABEH000717 (Mi im1154) 		 
This article is cited in 21 scientific papers (total in 21 papers)

The Euler beta-function, the Vandermonde determinant, Legendre's equation, and critical values of linear functions on a configuration of hyperplanes. I

A. N. Varchenko
English version PDF (1736 kB) Citations (21) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1990v035n03ABEH000717
Abstract: When working with a set of linear functions and the configration of hyperplanes they define, one encounters a matrix of multidimensional hypergeometric integrals. We give a formula which expresses the determinant of this matrix in terms of critical values of the linear functions restricted to the configuration.
Bibliography: 26 titles.
Received: 26.04.1988
Bibliographic databases:
UDC: 517.95
MSC: Primary 14H05, 33A35; Secondary 05B30, 14K20, 35G20, 33A15
Language: English
Original paper language: Russian
Citation: 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
Citation in format AMSBIB
\Bibitem{Var89}
\by A.~N.~Varchenko
\paper The Euler beta-function, the Vandermonde determinant, Legendre's equation, and critical values of linear functions on a~configuration of hyperplanes.~I
\jour Math. USSR-Izv.
\yr 1990
\vol 35
\issue 3
\pages 543--571
\mathnet{http://mi.mathnet.ru//eng/im1154}
\crossref{https://doi.org/10.1070/IM1990v035n03ABEH000717}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1039962}
\zmath{https://zbmath.org/?q=an:0709.33001|0695.33004}
Linking options:
  • https://www.mathnet.ru/eng/im1154
  • https://doi.org/10.1070/IM1990v035n03ABEH000717
  • https://www.mathnet.ru/eng/im/v53/i6/p1206
    • 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
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:1998
    Russian version PDF:1149
    English version PDF:40
    References:104
    First page:5
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024