Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
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 involvin...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2016 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2016
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147739 |
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| Zitieren: | 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. |
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Schlosser, M.J. Yoo, M. 2019-02-15T18:58:25Z 2019-02-15T18:58:25Z 2016 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. 1815-0659 2010 Mathematics Subject Classification: 30E05; 33D15; 33D70; 33E05; 33E20 DOI:10.3842/SIGMA.2016.039 https://nasplib.isofts.kiev.ua/handle/123456789/147739 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. 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". en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation |
| spellingShingle |
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation Schlosser, M.J. Yoo, M. |
| title_short |
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation |
| title_full |
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation |
| title_fullStr |
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation |
| title_full_unstemmed |
Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation |
| title_sort |
elliptic hypergeometric summations by taylor series expansion and interpolation |
| author |
Schlosser, M.J. Yoo, M. |
| author_facet |
Schlosser, M.J. Yoo, M. |
| publishDate |
2016 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
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.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/147739 |
| citation_txt |
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. |
| work_keys_str_mv |
AT schlossermj elliptichypergeometricsummationsbytaylorseriesexpansionandinterpolation AT yoom elliptichypergeometricsummationsbytaylorseriesexpansionandinterpolation |
| first_indexed |
2025-12-07T18:34:12Z |
| last_indexed |
2025-12-07T18:34:12Z |
| _version_ |
1850875526965624832 |