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Summation formulae for elliptic hypergeometric series
Author(s):
S.
Ole
Warnaar
Journal:
Proc. Amer. Math. Soc.
133
(2005),
519-527.
MSC (2000):
Primary 33D15, 33E05
Posted:
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:
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
Posted:
August 20, 2004
Additional Notes:
This work was supported by the Australian Research Council
Communicated by:
Carmen C. Chicone
Copyright of article:
Copyright
2004,
American Mathematical Society
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