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, 2016, Volume 12, 039, 21 pp.
DOI: https://doi.org/10.3842/SIGMA.2016.039 (Mi sigma1121) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation

Michael J. Schlosser, Meesue Yoo

Fakultät für Mathematik, Universität Wien, Oskar-Morgenstern-Platz 1, A-1090 Vienna, Austria
Full-text PDF (428 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.3842/SIGMA.2016.039
Abstract: We use elliptic Taylor series expansions and interpolation to deduce a number of summations for elliptic hypergeometric series. We extend to the well-poised elliptic case results that in the $q$-case have previously been obtained by Cooper and by Ismail and Stanton. We also provide identities involving S. Bhargava's cubic theta functions.
Keywords: elliptic hypergeometric series; summations; Taylor series expansion; interpolation.
Funding agency Grant number
Austrian Science Fund F50-08
The work in this paper has been supported by FWF Austrian Science Fund grant F50-08 within the SFB “Algorithmic and enumerative combinatorics”.
Received: March 1, 2016; in final form April 13, 2016; Published online April 19, 2016
Bibliographic databases:
Document Type: Article
MSC: 30E05; 33D15; 33D70; 33E05; 33E20
Language: English
Citation: Michael J. Schlosser, Meesue Yoo, “Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation”, SIGMA, 12 (2016), 039, 21 pp.
Citation in format AMSBIB
\Bibitem{SchYoo16}
\by Michael~J.~Schlosser, Meesue~Yoo
\paper Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
\jour SIGMA
\yr 2016
\vol 12
\papernumber 039
\totalpages 21
\mathnet{http://mi.mathnet.ru/sigma1121}
\crossref{https://doi.org/10.3842/SIGMA.2016.039}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000374458400001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84964899627}
Linking options:
  • https://www.mathnet.ru/eng/sigma1121
  • https://www.mathnet.ru/eng/sigma/v12/p39
    • This publication is cited in the following 1 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
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024