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Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
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- Фізико-технічні та математичні науки
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- Відділення математики
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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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Elliptic Hypergeometric Summations by Taylor Series Expansion and Interpolation
Інший ID:
2010 Mathematics Subject Classification: 30E05; 33D15; 33D70; 33E05; 33E20
DOI:10.3842/SIGMA.2016.039
DOI:10.3842/SIGMA.2016.039
Посилання:
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.
Підтримка:
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".
Дата:
2016
Переглядів:
522
Завантажень:
296
Анотація:
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.
