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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
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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
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\by Michael~J.~Schlosser, Meesue~Yoo
\paper Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
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\papernumber 039
\totalpages 21
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\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84964899627}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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