Some Closed-Form Evaluations of Multiple Hypergeometric and q-Hypergeometric Series
The main object of the present paper is to show how some fairly general analytical tools and techniques can be applied with a view to deriving summation, transformation and reduction formulas for multiple hypergeometric and multiple basic (or q-) hypergeometric series. By making use of some reductio...
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| Veröffentlicht in: | Acta applicandae mathematicae Jg. 86; H. 3; S. 309 - 327 |
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| Hauptverfasser: | , |
| Format: | Journal Article |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht
Springer Nature B.V
01.05.2005
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| Schlagworte: | |
| ISSN: | 0167-8019, 1572-9036 |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | The main object of the present paper is to show how some fairly general analytical tools and techniques can be applied with a view to deriving summation, transformation and reduction formulas for multiple hypergeometric and multiple basic (or q-) hypergeometric series. By making use of some reduction formulas for multivariable hypergeometric functions, the authors investigate several closed-form evaluations of various families of multiple hypergeometric and q-hypergeometric series. Relevant connections of the results presented in this paper with those obtained in earlier works are also considered. A number of multiple q-series identities, which are developed in this paper, are observed to be potentially useful in the related problems involving closed-form evaluations of multivariable q-hypergeometric functions. [PUBLICATION ABSTRACT] |
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| Bibliographie: | SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 14 |
| ISSN: | 0167-8019 1572-9036 |
| DOI: | 10.1007/s10440-004-7465-4 |