Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation

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dc.contributor.authorSchlosser, M.J.
dc.contributor.authorYoo, M.
dc.date.accessioned2019-02-15T18:58:25Z
dc.date.available2019-02-15T18:58:25Z
dc.date.issued2016
dc.description.abstractWe 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.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications. The full collection is available at http://www.emis.de/journals/SIGMA/OPSFA2015.html. nowledgements The work in this paper has been supported by FWF Austrian Science Fund grant F50-08 within the SFB “Algorithmic and enumerative combinatorics".uk_UA
dc.identifier.citationElliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation / M.J. Schlosser, M. Yoo // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 26 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 30E05; 33D15; 33D70; 33E05; 33E20
dc.identifier.otherDOI:10.3842/SIGMA.2016.039
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147739
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleElliptic Hypergeometric Summations by Taylor Series Expansion and Interpolationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12, випуск за цей рік