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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Summation formulae for elliptic hypergeometric series


Author: S. Ole Warnaar
Journal: Proc. Amer. Math. Soc. 133 (2005), 519-527
MSC (2000): Primary 33D15, 33E05
Published electronically: August 20, 2004
MathSciNet review: 2093076
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Abstract: Several new identities for elliptic hypergeometric series are proved. Remarkably, some of these are elliptic analogues of identities for basic hypergeometric series that are balanced but not very-well-poised.


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Additional Information

S. Ole Warnaar
Affiliation: Department of Mathematics and Statistics, The University of Melbourne, VIC 3010, Australia
Email: warnaar@ms.unimelb.edu.au

DOI: http://dx.doi.org/10.1090/S0002-9939-04-07558-6
PII: S 0002-9939(04)07558-6
Keywords: Basic hypergeometric series, elliptic hypergeometric series
Received by editor(s): September 16, 2003
Received by editor(s) in revised form: October 20, 2003
Published electronically: August 20, 2004
Additional Notes: This work was supported by the Australian Research Council
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2004 American Mathematical Society