Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions
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| Creator |
van de Bult, F.J.
Rains, E.M. |
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| Description |
We describe a uniform way of obtaining basic hypergeometric functions as limits of the elliptic beta integral. This description gives rise to the construction of a polytope with a different basic hypergeometric function attached to each face of this polytope. We can subsequently obtain various relations, such as transformations and three-term relations, of these functions by considering geometrical properties of this polytope. The most general functions we describe in this way are sums of two very-well-poised 10φ9's and their Nassrallah-Rahman type integral representation.
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| Date |
2019-02-19T17:30:57Z
2019-02-19T17:30:57Z 2009 |
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| Type |
Article
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| Identifier |
Basic Hypergeometric Functions as Limits of Elliptic Hypergeometric Functions / F.J. van de Bult, E.M. Rains // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 18 назв. — англ.
1815-0659 2000 Mathematics Subject Classification: 33D15 http://dspace.nbuv.gov.ua/handle/123456789/149119 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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