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Axioms 2012, 1(3), 365-371; doi:10.3390/axioms1030365

New Curious Bilateral q-Series Identities

1,*  and 2
1 Institut Camille Jordan, Université Claude Bernard Lyon 1, 69622 Villeurbanne Cedex, France 2 Fakultät für Mathematik der Universität Wien, Nordbergstraße 15, A-1090 Wien, Austria
* Author to whom correspondence should be addressed.
Received: 17 September 2012 / Revised: 9 October 2012 / Accepted: 17 October 2012 / Published: 31 October 2012
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By applying a classical method, already employed by Cauchy, to a terminating curious summation by one of the authors, a new curious bilateral q-series identity is derived. We also apply the same method to a quadratic summation by Gessel and Stanton, and to a cubic summation by Gasper, respectively, to derive a bilateral quadratic and a bilateral cubic summation formula.
Keywords: bilateral basic hypergeometric series; q-series; curious summations bilateral basic hypergeometric series; q-series; curious summations
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Jouhet, F.; Schlosser, M.J. New Curious Bilateral q-Series Identities. Axioms 2012, 1, 365-371.

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