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, 2017, Volume 13, 037, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2017.037 (Mi sigma1237) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Gustafson–Rakha-Type Elliptic Hypergeometric Series

Hjalmar Rosengren

Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, SE-412 96 Gothenburg, Sweden
Full-text PDF (334 kB) Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2017.037
Abstract: We prove a multivariable elliptic extension of Jackson's summation formula conjectured by Spiridonov. The trigonometric limit case of this result is due to Gustafson and Rakha. As applications, we obtain two further multivariable elliptic Jackson summations and two multivariable elliptic Bailey transformations. The latter four results are all new even in the trigonometric case.
Keywords: elliptic hypergeometric series; multivariable hypergeometric series; Jackson summation; Bailey transformation.
Funding agency
This research is supported by the Swedish Science Research Council (Vetenskapsrådet).
Received: February 2, 2017; in final form May 29, 2017; Published online June 1, 2017
Bibliographic databases:
Document Type: Article
MSC: 33D67
Language: English
Citation: Hjalmar Rosengren, “Gustafson–Rakha-Type Elliptic Hypergeometric Series”, SIGMA, 13 (2017), 037, 11 pp.
Citation in format AMSBIB
\Bibitem{Ros17}
\by Hjalmar~Rosengren
\paper Gustafson--Rakha-Type Elliptic Hypergeometric Series
\jour SIGMA
\yr 2017
\vol 13
\papernumber 037
\totalpages 11
\mathnet{http://mi.mathnet.ru/sigma1237}
\crossref{https://doi.org/10.3842/SIGMA.2017.037}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000402709000001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85020441606}
Linking options:
  • https://www.mathnet.ru/eng/sigma1237
  • https://www.mathnet.ru/eng/sigma/v13/p37
    • This publication is cited in the following 2 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:128
    Full-text PDF :35
    References:32
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024