Partial Sums of Two Quartic q-Series
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X iv :0 90 4. 34 53 v1 [ m at h. C A ] 2 2 A pr 2 00 9 Symmetry, Integrability and Geometry: Methods and Applications SIGMA 5 (2009), 050, 19 pages Partial Sums of Two Quartic q-Series Wenchang CHU † and Chenying WANG ‡ † Dipartimento di Matematica, Università degli Studi di Salento, Lecce-Arnesano P. O. Box 193, Lecce 73100, Italy E-mail: [email protected] ‡ College of Mathematics and Physics, Nanjing University of Information Science and Technology, Nanjing 210044, P. R. China E-mail: [email protected] Received January 20, 2009, in final form April 17, 2009; Published online April 22, 2009 doi: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.
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تاریخ انتشار 2009