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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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2016 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2016
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/147739 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862722077061021696 |
|---|---|
| author | Schlosser, M.J. Yoo, M. |
| author_facet | Schlosser, M.J. Yoo, M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T18:34:12Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147739 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T18:34:12Z |
| publishDate | 2016 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation Schlosser, M.J. Yoo, M. |
| title | 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_short | Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation |
| title_sort | elliptic hypergeometric summations by taylor series expansion and interpolation |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147739 |
| work_keys_str_mv | AT schlossermj elliptichypergeometricsummationsbytaylorseriesexpansionandinterpolation AT yoom elliptichypergeometricsummationsbytaylorseriesexpansionandinterpolation |