Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


SIGMA:
Year:
Volume:
Issue:
Page:
Find




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

Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 040, 22 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.040 (Mi sigma386) 		 
This article is cited in 17 scientific papers (total in 17 papers)

Middle Convolution and Heun's Equation

Kouichi Takemura

Department of Mathematical Sciences, Yokohama City University, 22-2 Seto, Kanazawa-ku, Yokohama 236-0027, Japan
Full-text PDF (336 kB) Citations (17)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2009.040
Abstract: Heun's equation naturally appears as special cases of Fuchsian system of differential equations of rank two with four singularities by introducing the space of initial conditions of the sixth Painlevé equation. Middle convolutions of the Fuchsian system are related with an integral transformation of Heun's equation.
Keywords: Heun's equation; the space of initial conditions; the sixth Painlevé equation; middle convolution.
Received: November 26, 2008; in final form March 25, 2009; Published online April 3, 2009
Bibliographic databases:
Document Type: Article
MSC: 34M35; 33E10; 34M55
Language: English
Citation: Kouichi Takemura, “Middle Convolution and Heun's Equation”, SIGMA, 5 (2009), 040, 22 pp.
Citation in format AMSBIB
\Bibitem{Tak09}
\by Kouichi Takemura
\paper Middle Convolution and Heun's Equation
\jour SIGMA
\yr 2009
\vol 5
\papernumber 040
\totalpages 22
\mathnet{http://mi.mathnet.ru/sigma386}
\crossref{https://doi.org/10.3842/SIGMA.2009.040}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2506172}
\zmath{https://zbmath.org/?q=an:1170.34060}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000267267900040}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-83055161833}
Linking options:
  • https://www.mathnet.ru/eng/sigma386
  • https://www.mathnet.ru/eng/sigma/v5/p40
    • This publication is cited in the following 17 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:269
    Full-text PDF :78
    References:41
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024