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періодичних видань НАН України
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2016, том 12
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| dc.contributor.author | Schlosser, M.J. | |
| dc.contributor.author | Yoo, M. | |
| dc.date.accessioned | 2019-02-15T18:58:25Z | |
| dc.date.available | 2019-02-15T18:58:25Z | |
| dc.date.issued | 2016 | |
| dc.identifier.citation | Elliptic 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.issn | 1815-0659 | |
| dc.identifier.other | 2010 Mathematics Subject Classification: 30E05; 33D15; 33D70; 33E05; 33E20 | |
| dc.identifier.other | DOI:10.3842/SIGMA.2016.039 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147739 | |
| dc.description.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. | uk_UA |
| dc.description.sponsorship | This 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.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
