Axioms 2012, 1(3), 365-371; https://doi.org/10.3390/axioms1030365
New Curious Bilateral q-Series Identities
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
(This article belongs to the Special Issue q-Series and Related Topics in Special Functions and Analytic Number Theory)
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Abstract
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. View Full-Text
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Jouhet, F.; Schlosser, M.J. New Curious Bilateral q-Series Identities. Axioms 2012, 1, 365-371.