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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 050, 19 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.050 (Mi sigma396) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Partial Sums of Two Quartic $q$-Series

Wenchang Chua, Chenying Wangb

a Dipartimento di Matematica, Università degli Studi di Salento, Lecce-Arnesano P. O. Box 193, Lecce 73100, Italy
b College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China
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DOI: https://doi.org/10.3842/SIGMA.2009.050
Abstract: The partial sums of two quartic basic hypergeometric series are investigated by means of the modified Abel lemma on summation by parts. Several summation and transformation formulae are consequently established.
Keywords: basic hypergeometric series ($q$-series); well-poised q-series; quadratic $q$-series; cubic $q$-series; quartic $q$-series; the modified Abel lemma on summation by parts.
Received: January 20, 2009; in final form April 17, 2009; Published online April 22, 2009
Bibliographic databases:
Document Type: Article
MSC: 33D15; 05A15
Language: English
Citation: Wenchang Chu, Chenying Wang, “Partial Sums of Two Quartic $q$-Series”, SIGMA, 5 (2009), 050, 19 pp.
Citation in format AMSBIB
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\paper Partial Sums of Two Quartic $q$-Series
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