Chu, Wenchang; Wang, Chenying Partial sums of two quartic \(q\)-series. (English) Zbl 1163.33319 SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 050, 19 p. (2009). Summary: 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. Cited in 1 Document MSC: 33D15 Basic hypergeometric functions in one variable, \({}_r\phi_s\) 05A15 Exact enumeration problems, generating functions 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 PDFBibTeX XMLCite \textit{W. Chu} and \textit{C. Wang}, SIGMA, Symmetry Integrability Geom. Methods Appl. 5, Paper 050, 19 p. (2009; Zbl 1163.33319) Full Text: DOI arXiv EuDML